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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Originally Posted by hpla 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)?
Also, show some work! Does the question read "verify if y is a solutions for the given DE"???
Originally Posted by TheChaz 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)
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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