dy Use the substitution t = In(x) to transform the given Cauchy-Euler equation to a differential equation with constant coefficients. (Use yp for and ypp for dt d²y dt2 xy" 3xy' + 13y = 6 + 7x Solve the original equation by solving the new equation using the procedure in Sections 4.3-4.5. y(x) = ,X>0

3. a) Use the substitution u = -x+3y to solve the differential equation. (-x + 3y)y' = 1 b) Clearly classify the type of the equation that you will be solving after the substitution.

Verify that the function y = 9e-(cof 62)) is a solution to the differential equation y = 6 sin(6x)y. 3/ = help (formulas)