What is the solution for xydx+(1+y)sqrt(1)-x^2dy=0 ?

The solution for xydx+(1+y)sqrt(1)-x^2dy=0 is y=(c_{1}x}{e^{\frac{1+c_{1}x)/x}}+x-1

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xydx+(1+y)sqrt(1)-x^2dy=0

x y d x + (1 + y) 1 - x^{2} d y = 0

y = \frac{c _{1} x}{e ^{\frac{1 + c _{1} x}{x}}} + x - 1

Solution steps

x y d x + (1 + y) 1 - x^{2} d y = 0

Solve linear ODE:

y = \frac{c _{1} x}{e ^{\frac{1 + c _{1} x}{x}}} + x - 1

y = \frac{c _{1} x}{e ^{\frac{1 + c _{1} x}{x}}} + x - 1

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What is the solution for xydx+(1+y)sqrt(1)-x^2dy=0 ?
The solution for xydx+(1+y)sqrt(1)-x^2dy=0 is y=(c_{1}x}{e^{\frac{1+c_{1}x)/x}}+x-1