What is the solution for 6ydy=24xdx ?

The solution for 6ydy=24xdx is y=sqrt(4x^2+c_{1)},y=-sqrt(4x^2+c_{1)}

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6ydy=24xdx

6 y d y = 24 x d x

y = 4 x^{2} + c_{1}, y = - 4 x^{2} + c_{1}

Solution steps

6 y d y = 24 x d x

Solve separable ODE:

y = 4 x^{2} + c_{1}, y = - 4 x^{2} + c_{1}

y = 4 x^{2} + c_{1}, y = - 4 x^{2} + c_{1}

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

\frac{d y}{d x} = \frac{2 e ^{x}}{2 y + 1}

\frac{d y}{d x} = 6 x^{6} y

y^{^{'}} = e^{3 x + 2 y}, y (0) = 0

\frac{d y}{d x} = 4 e^{x - y}, y (0) = ln (7)

What is the solution for 6ydy=24xdx ?
The solution for 6ydy=24xdx is y=sqrt(4x^2+c_{1)},y=-sqrt(4x^2+c_{1)}