What is the solution for 0=(x+y)dx+(x-y)dy ?

The solution for 0=(x+y)dx+(x-y)dy is y=(2x+sqrt(8x^2+c_{1)})/2 ,y=(2x-sqrt(8x^2+c_{1)})/2

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0=(x+y)dx+(x-y)dy

0 = (x + y) d x + (x - y) d y

y = \frac{2 x + 8 x ^{2} + c _{1}}{2}, y = \frac{2 x - 8 x ^{2} + c _{1}}{2}

Solution steps

0 = (x + y) d x + (x - y) d y

Solve exact ODE:

y = \frac{2 x + 8 x ^{2} + c _{1}}{2}, y = \frac{2 x - 8 x ^{2} + c _{1}}{2}

y = \frac{2 x + 8 x ^{2} + c _{1}}{2}, y = \frac{2 x - 8 x ^{2} + c _{1}}{2}

What is the solution for 0=(x+y)dx+(x-y)dy ?
The solution for 0=(x+y)dx+(x-y)dy is y=(2x+sqrt(8x^2+c_{1)})/2 ,y=(2x-sqrt(8x^2+c_{1)})/2