What is the solution for ye^{3x}dx=(9-e^{3x})dy ?

The solution for ye^{3x}dx=(9-e^{3x})dy is y=(c_{1})/(\sqrt[3]{9-e^{3x)}}

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ye^{3x}dx=(9-e^{3x})dy

y e^{3 x} d x = (9 - e^{3 x}) d y

Solution steps

y e^{3 x} d x = (9 - e^{3 x}) d y

Solve separable ODE:

y y^{^{'}} - 3 x^{2} - x = 0

e^{x} cos (y) d x + (1 + e^{x}) sin (y) d y = 0

y^{^{'}} = 6 (x y)^{2}

\frac{d y}{d x} = e^{x + y}, y (0) = 0

x (H (x) x)^{2} d x + x^{2} (H (x) x) (H (x) d x + x d H (x)) = 0

What is the solution for ye^{3x}dx=(9-e^{3x})dy ?
The solution for ye^{3x}dx=(9-e^{3x})dy is y=(c_{1})/(\sqrt[3]{9-e^{3x)}}