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Math Help - Show a solution satisfies the DE

  1. #1
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    Show 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
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  2. #2
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    Quote Originally Posted by hpla View Post
    hey . i need the solution :

    1- y‘= 1+y^2 . y= tan (x+c)
    I don't understand this format. You are given a D.E and the answer? In this case y= tan (x+c), so find y' and see if it satisfies the D.E. Or do you have to solve the D.E. showing y= tan (x+c)?
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  3. #3
    Super Member TheChaz's Avatar
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    Also, show some work!
    Does the question read "verify if y is a solutions for the given DE"???
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  4. #4
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    Quote Originally Posted by TheChaz View Post
    Also, show some work!
    Does the question read "verify if y is a solutions for the given DE"???
    how i get y for :

    y= a cos pi x + b sin pi x

    y= - sin x + ax^2 + bx + c

    . y= tan (x+c)
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  5. #5
    Super Member TheChaz's Avatar
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    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?
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