1. Find suitable integrating factor and solve the following differential equation. (x + y)dx - xdy = 0 Solution: Integrating factor: u(x) = x-2 The general solution is - -+ Inx = k x 2.(tut.9e) Solve the order linear equation, dy 1 dy + p(x)y = r(x) +-y= x, y(1) =5 dx dx x 14 Solution: + 3 3x 3. Use Bernoulli's equation, solve the following differential equation, dy 2 y = x212 Solution: dx X Arrange v-2 dy 2 = x2 Use u= y-1 du = ? 5x2 - V = dx X dx u A-x5