A differential equation and a nontrivial solution f are given below. Find a second linearly independent solution using reduction of order. Assume that all constants of integration are zero.
One solution of the differential equation is . Find a second linearly independent solution using reduction of order.
Cosider the system of differential equations
Convert this system to a second order differential equations and solve this second order differential equations
Solve the linear equations by considering y as a function of x, that is, y = y(x).