I need a help to solve these ODE problms
Test for exactness. If exact, solve. If not, use an integrating factor to reduce to exact and solve.
Q1)
y1 = x3/2 and y2 = x-1/2 are solutions of the ODE 4x2 y? - 3y = 0. Solve the IVP subject to: y(1) = -3 and y?(1) = 0.
Q2)
The ODE y y = 3y?2 can be reduced to a first-order ODE with y as the independent variable, z = y?, and y? = (dz/dy)z. Reduce to first order and solve