Question: this equation is a first order linear equation for v...
This equation is a first order linear equation for v ′ . Solving this equation, integrating the result, and then multiplying by y 1 (t) leads to the general solution of the first equation.
Use the method above to solve the differential equation t 2 y ′′ −2 ty ′ +2y=3 t 2 , t>0, y 1 (t)=t.
Use C 1 , C 2 ,... for the constants of integration. Enclose arguments of functions in parentheses. For example, sin(2x)