Solve The IVP. (1 + X)Y' + Y = Cos X, Y(O) = 1 Find General Solutions To The Homogeneous Differential Equations. Xy' = Y + 2 Squareroot Xy X^2y' = Xy + Y^2 Find A General Solution To The Differential Equation By Substitution To Reduce It To A Separable DE. Y' = (4x + Y)^2 Find General Solutions To The Bernoulli Equations. X^2y' + 2 Xy = 5y^3 Y' = Y + Y^3

4. Solve the IVP. (1+x)y' + y = cos x, y(0) = 1 5. Find general solutions to the homogeneous differential equa- tions. (a) xy' = y +2xy (b) xy' = xy + y 6. Find a general solution to the differential equation by substitu- tion to reduce it to a separable DE. y' = (4x + y) 7. Find general solutions to the Bernoulli equations. (a) xy' + 2xy = 5y (b) y = y + y