Factor out the Greatest Common Factor (GCF), 'dy' dy(x 2 1y 2) = 0 Factor a difference between two squares dy((x y)(x 1y)) = 0 Subproblem 1 Set the factor 'dy' equal to zero and attempt to solve Simplifying dy = 0 Solving dy = 0 Move all terms containing d to Explanation d dx (y x) = eyx Making z = x y → z' = 1 y' then y' 1 = exy → z' = ez or dz ez = dx or e−zdz = dx and integrating both sides −e−z = x C0 or y = − (ln(C1 − x) xTo ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW `x(1y^2)dxy(1x^2) dy=0`
Differential Equations Solved Examples 17
