Verify by substitution that each given function is a solution of the given differential equation. Throughout these problems, primes denote derivatives with respect to x. y^'=3 x^2 ; y=x^3 7 | Numerade

Verify by substitution that each given function is a solution of the given differential equation. Throughout these problems, primes denote derivatives with respect to x. y^''+4 y=0 ; y1=cos2 x, y2=sin2 x | Numerade

Use (12) to verify that the indicated function is a solution of the given differential equation. Assume an appropriate interval I of definition of each solution. (d y)/(d x)+2 x y=1 ; y=e^-x^2+e^-x^2 ∫0^x e^t^2 d t | Numerade