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

SOLVED: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. x (d y)/(d x)-3 x y=1 ; y=e^3 x ∫1^x (e^-3 t)/(t) d t

In Problems 25-28, use (12) to verify that the indicated function is a solution of the given differential equation. Assume an appropriate interval of definition for each solution.25. 3xy = I; y = e^r dt dx26. dy cos 26. 2x √y = 2xcos ; VF Vl dt dx Vt27. rdy xy = 10 sinx; 5 10 'sin ! dt dx28. dx 2xy = [; y = e^(x √[ e^2]) dt dx