The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, -IP(x) dx (x) / ² X2 = Y₂ = x₁(x) dx (5) as instructed, to find a second solution y₂(x). y" - 10y' + 25y = 0; y₁ = ex

Use the method of undetermined coefficients to determine the form of a particular solution to the given equation.  y'''+10y''-11y=(x*e^x)+6

Let (a) (b) (√x+²) dx + (y² + In(2x)) dy=0, x>0. Check that this is an exact differential equation. Solve the equation leaving the general solution in implicit form.