hey . i need the solution :

1- y‘= 1+y^2 . y= tan (x+c)

2- y‘‘+2y‘+10y=0 . y= a cos pi x + b sin pi x

3- y‘‘‘= cos x . y= - sin x + ax^2 + bx + c

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- Mar 28th 2011, 01:29 PMhplaShow a solution satisfies the DE
hey . i need the solution :

1- y‘= 1+y^2 . y= tan (x+c)

2- y‘‘+2y‘+10y=0 . y= a cos pi x + b sin pi x

3- y‘‘‘= cos x . y= - sin x + ax^2 + bx + c - Mar 28th 2011, 01:36 PMpickslides
- Mar 28th 2011, 02:06 PMTheChaz
Also, show some work!

Does the question read "verify if y is a solutions for the given DE"??? - Mar 28th 2011, 02:32 PMhpla
- Mar 28th 2011, 02:59 PMTheChaz
For the first, use the chain rule and knowledge of trig functions.

[a cos pi x]' = -pi*a sin pi x

etc

Have you taken Calculus?