Solve the differential equation. dy y + 1 dx O In |x| – ? () = tan - ex - x + tan-'(x) = C In |x| – + tan- ) = c y %3D O In |x| *+ tan- () = C - y

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 9E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Solve the differential equation.
dy
y
+ 1
dx
O In |x| – ?
= C
tan
-
ex
- x + tan-'(x) = C
In |x| – + tan- ) = c
y
%3D
O In |x|
*+ tan- () = C
-
y
Transcribed Image Text:Solve the differential equation. dy y + 1 dx O In |x| – ? = C tan - ex - x + tan-'(x) = C In |x| – + tan- ) = c y %3D O In |x| *+ tan- () = C - y
dy
Solve the differential equation. (e* – e¯* )
dx
O y = sin¬'(e*) – 2C
O y?
1
- tan- (ex)-2C
O y? = -2 tan¬'(e*)+ C
O y?
-2 tan-' (ex )–-2C
||
Transcribed Image Text:dy Solve the differential equation. (e* – e¯* ) dx O y = sin¬'(e*) – 2C O y? 1 - tan- (ex)-2C O y? = -2 tan¬'(e*)+ C O y? -2 tan-' (ex )–-2C ||
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