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

Using Derivatives to Verify a Function is the Solution to a Differential Equation | Calculus | Study.com

In Problems I through 12, verify by substitution that each given function is a solution of the given differential equation. Throughout these problems, primes denote derivatives with re spect to x. y^'=3 x^2 ; y=x^3 7 | Numerade