What is the solution for (10x+y)dx+(x+2y)dy=0 ?

The solution for (10x+y)dx+(x+2y)dy=0 is y=(-x+sqrt(-19x^2+c_{1)})/2 ,y=(-x-sqrt(-19x^2+c_{1)})/2

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(10x+y)dx+(x+2y)dy=0

(10 x + y) d x + (x + 2 y) d y = 0

y = \frac{- x + - 19 x ^{2} + c _{1}}{2}, y = \frac{- x - - 19 x ^{2} + c _{1}}{2}

Solution steps

(10 x + y) d x + (x + 2 y) d y = 0

Solve exact ODE:

y = \frac{- x + - 19 x ^{2} + c _{1}}{2}, y = \frac{- x - - 19 x ^{2} + c _{1}}{2}

y = \frac{- x + - 19 x ^{2} + c _{1}}{2}, y = \frac{- x - - 19 x ^{2} + c _{1}}{2}

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What is the solution for (10x+y)dx+(x+2y)dy=0 ?
The solution for (10x+y)dx+(x+2y)dy=0 is y=(-x+sqrt(-19x^2+c_{1)})/2 ,y=(-x-sqrt(-19x^2+c_{1)})/2