dy = (x³ – 2xy)dx

Q: Find the general solution to the following differential equation by using method of undetermined…

A: Sol

Q: 3. (x4 + 2y)dx = xdy

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Q: • Solve for the value of "C" on the given differential equation below. Let y(1)=1 (x5 + 3y) dx - 5…

A: Given: x5+3ydx-5xdy=0

Q: dy x +3y dx 2 ху

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Q: (x²+y)dx -xy dy - O

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. X…

A: Given, xdydx=y+x2-y2 ,x >0 To find the general solution of the given differential equation.

Q: (x4 + 2y)dx = xdy

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Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 ( 7y - x² )dx + xdy…

A: C=89

Q: Find the value of k so that the given differential equation is exact. + kxy - 2x) dx + (3xy² +…

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Q: Solve the given differential equation by separation of variables. x(1 + y?)!/2 dx = y(1 + x?)/2 dy

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Q: Solve the following differential equation and its integrating factor. dy Determine the solution of…

A: topic - differential equations

Q: • Solve for the value of "C" on the given differential equation below. Let y(1)=1 2( y- 9x2 )dx +…

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Q: Solve the following differential equation Integrating Factor by Linear Equations: dy/dx = 1/x+y2

A: We have given a differential equation, dydx = 1x + y2 ⇒ dxdy = x + y21 = x + y2 ⇒ dxdy = x + y2 ⇒…

Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 ( 5x + y) dx - xdy…

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Q: • Solve for the value of "C" on the given differential equation below. Let y(1)=1 (x³ + 3y) dx - 4…

A: Consider the given equation. 2y-x5dx+xdy=0 Further simplify the equation.…

Q: Find the integrating factor necessary to solve the following linear differential equation: (1+ y² )…

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Q: |dx = 0

A: We have to solve the differential equation by finding the integration factor.…

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: y' - (2xy - x³ ) = 0 %3D

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Q: Solve for the value of “C” on the given differential equation below. Let y(1)=1 y’=x-2y

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Q: Solve the given differential equation by using an appropriate substitution. (x² + y?)dx + (x² +…

A: The given differential equation is: (x^2 + y^2)dx + (y^2 + 2xy)dy = 0 x^2 dx + y^2 dx + y^2 dy + 2xy…

Q: ydx + (2x + 1 – xy)dy = 0

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

A: Given: y2+yxdx-x2dy=0 .......... (*) To find: Solution to the given differential equation.

Q: Solve the following differential equation by using integrating factors. y' = y + e

A: Please refer the attached image for complete solution.

Q: Show that the following first order differential equation is exact, and then find the general…

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Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 ( 9x5 + y) dx - xdy…

A: We first rearrange the given differential equation and write it in other form as

Q: (y – 2)dx = (y – 3x)dy

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Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 10 ( x³ + y) dx -…

A: Given differential equation x5+ydx−xdy=0 We have to find the value of C and the general solution of…

Q: (y – 2)dx = (y – 3x)dy

A: The solution is given as

Q: dy + ydx = 2xy² e*dx

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Q: 3.) (–14x³y – 3e-y – 1) dx + 2x(3e-y – 2x³) dy = 0

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Q: Solve the given differential equation by separation of variables. dN +N = Nte + 6 dt

A: The given differential equation is  dNdt + N = Ntet+6  By using separation of variables method,…

Q: Solve the following differential equations by finding integrating factor dy --y = e2x dx

A: We need to solve the given differential equation using integrating factor method.

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: Find the value of k so that the given differential equation is exact. (y + kxy* - 2x) dx + (3xy2 +…

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Q: Find the value of k so that the given differential equation is exact. (y³ + kxyª – 2x) dx + (3xy² +…

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Q: Solve the given differential equation by separation of variables. dx + exdy = 0 y = 14e - 4x + C X

A: We can solve the given differential equation by using the variable separable method

Q: (d) Find an appropriate integrating factor for this differential equation and solve it downright, y'…

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Q: (1 + xy)dx = (1 + x?)dy

A: The solution is given as

Q: Determine if the given differential equation is homogenous and solve it using integrating factors of…

A: Let's find.

Q: y = x2 + Ae2x + Be3x

A: From the given differential equation. y=x2+Ae2x+Be3x

Q: dy = (2x – y)2dx %3D

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Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 (9x + y) dx - xdy =0

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Q: Solve the following Exact/Inexact Differential Equation. If it is inexact, then solve it by finding…

A: Given: 2xy-3dx+x2+4ydy=0; y1=2 Let P=2xy-3, Q=x2+4y Therefore, Pdx+Qdy=0 Now, dPdy=2x, dQdx=2x…

Q: (y In xy + 3x²) dx + x In xy dy = 0

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Q: (4 - 3xy - 3y) = (x+1)² y'

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Q: 8.) x³y5 dx + (x+y* + 1) dy = 0

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