How would I solve the differential equations/initial value problems? Please explain each step, it help alot 4 -dt y -3 dy =0 y 4.31. 1 dx - dy =0 1+ y 4.32.

Q: У"(х) — 2у(х) + у (x) — 4x2 — 3 + et

A: Given :         y''(x) - 2y'(x) + y(x) = 4x2 - 3 + exx   To find:            The general solution of…

Q: How  can we apply second-order differential equations to the study of vibrating springs and electric…

A: Generally the equations of the analogous systems are second order differential equation with…

Q: y'= (x²y- y)/(y+1);when x = 3, y = -1

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Q: find general solution of following differential equations: y'tanx=2y-8,y(1/2pie)=0

A: Given differential equationy'tan x = 2y-8⇒ y' = 2ytan x- 8tanx         ∴ y' = dydx⇒ dydx - 2tan x. y…

Q: What is correct form of the particular solution associated with the differential equationy"=8?

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Q: ex 2. y" – 4y' + 3y = - 1+ ex

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Q: What differential equation has general solution  y=c1e^(5t)+c2te^(5t)?

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Q: The universal solution of the differential equation below may be found by substituting y=zx. Hence…

A: Given that                       x2 dydx = y (x+y)   hence we have to find the solution of d.E

Q: ( .) Find the solution to the differential equation dz dt that passes through the origin. 2= 5te6z

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Q: What is correct form of the particular solution associated with the differential equationy'''=8?

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Q: Find general solutions of the differential equation    (2xsinycosy)y'=4x^2+sin^2 y

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Q: Find the solution to the differential equation dz 4te dt 3 that passes through the origin.

A: GIVEN: dzdt = 4te3z

Q: The system changed so that the right-hand side of the differential equation is 0. Use the…

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Q: The solution of the given differential equation for y(1.5) is h=0.1 interval value. Calculate by…

A: Euler's method uses the formula, yn+1=yn+hf(xn,yn) to perform the iterations.

Q: is general solution of y = ae? x + be³x .8 differential equation اخترأحد الخیارات

A: Given: y=ae2x+be3x

Q: 3x2y +y2 2x3+ 3ху dy

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Q: 3ydx What is the general solution to the differential equation 3dy + = y*(2x*)dx ?

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Q: Find the general solution of the differential equation. y (4) - y = 8t + cost.

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Q: Solve the differential equation by variation of parameters. 1 2 + ex y" + 3y' + 2y =

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Q: What is the appropriate method to find the general solution of this differential equation?

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Q: y"″ − 3y" − 4y' + 12y = 0 -

A: To find the general solution of the differential equation y'''-3y''-4y'+12y=0

Q: 2yy"=1+y'².

A: We have given differential equation ,  2yy'' = 1 + y'2 Here , substitute y' = u ⇒ y'' = u u'  Thus…

Q: 3x + y + z = 0; z(0) = −1

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Q: 3. xy dx + x²ydy = 0

A: Given- xy2dx+x2ydy=0 To Solve- The above differential equation.

Q: Find the particular solution to the differential equation: dy = 3x² cos² y. sSolution passes through…

A: Differential calculus is one of two main parts of calculus which is concerned with the study of…

Q: хду + (у+ 3x)dx — 0; when x %3D1, у%3D3

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Q: Find the general solution for the differential equation

A: Given: The given differential equation is X'=45-26X

Q: Find the general solution of the differential equation with clear steps.

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Q: y" + 2y' – 8y = 2e¬2x – e¬x - e-x ||

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Q: 2ydx + x (x² In y – 1) dy = 0

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Q: Solve the differential equation ry"+2(1 – x) y' + (x – 2) y = 2e", if yı = e² is known as a solution…

A: given differential equation  xy''+21-xy'+x-2y=2ex                    ...i claim- if y1=ex is a…

Q: Solve the differential equation by variation of parameters. 1 2y = 2 + ex y" + 3y + 2y =

A: y'' +3y' +2y=12+exA second order linear, non-homogeneous ODE has the form of   ay''+by'+cy=gxThe…

Q: Solve the differential equation by variation of parameters. 1 4 + ex y" + 3y' + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(4+ex).

Q: Solve differential equation dy=yt method by 2nd order Runge-Kutta and fourth order Runge-Kutta

A: Given the differential equation is dydt=y2t

Q: Find all solutions to the differential equation y '= −5y. Which solution satisfies the initial…

A: Given: 1. 2.  Initial Condition To Find:  All the solutions of the given Differential equation.…

Q: 3. (D² + 4)y = 0

A: Given:         D2+4y=0      Auxiliary equation is        m2+4=0         m2=-4          m=±-4…

Q: الموافق Find the general integra) of the differential equations with dottedf v ariables : ト 3) (++y)…

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Q: (2x+3y-5) dx + (3x-y-2) dy=0 hint: Case 2

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Q: Solve y" –3y' = 2e* +5sin 2x

A: We will find out the required solution for the given differential equation.

Q: Find the particular solution of the differential equation satisfying the initial condition…

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Q: Solve the differential equation ry" +2 (1- x) y'+(x- 2) y = 2e", if y1 = e" is known as a solution…

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Q: Find the solution of this higher order differential equation

A: Given that: (D4-3D3+4D)x=6+80cos2y

Q: ,Find the two values of k for which y(x) = ekx is a solution of the differential equation %3D…

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Q: Use separation of variables to find the general solution of the differential equation. ely' = 3x5 +…

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Q: 2 11 y+xy+y%3D45inlnx

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Q: Find the particular solution to the differential equation: dy/dx=3x^2cos^2y. Solution passes…

A: The given differential equation is in variable separable form. We solve the differential equation by…

Q: Find the particular solution to the differential equation y′ = 4x + 3 passing through the point…

A: To find: y'=4x+3dydx-4x=3       dydx+Py=Qwhere P and Q are variables of x onlyI.F.(Integrating…

Q: Find the solution to the differential equation dz 2te12 dt that passes through the origin.

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Q: Solve for Higher Differential Equation using Undetermined Coefficients Method y" – 3y' + 5y = 4x³ –…

A: The  given differential equation is y''-3y'+5y=4x3-2x To find the solution of the differential…

Q: To solve the differential equation 3 + ty = sint, y(0) =5 by the 4th order dt %3D Runge-Kutta…

A: standard form for Runge-Kutta method for solving first order differential equation is: dydx = f(t,…