What is the solution for (dy)/(dx)=(7x)/(4y) ?

The solution for (dy)/(dx)=(7x)/(4y) is y=(sqrt(c_{1)+7x^2})/2 ,y=-(sqrt(c_{1)+7x^2})/2

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(dy)/(dx)=(7x)/(4y)

\frac{d y}{d x} = \frac{7 x}{4 y}

y = \frac{c _{1} + 7 x ^{2}}{2}, y = - \frac{c _{1} + 7 x ^{2}}{2}

Solution steps

\frac{d y}{d x} = \frac{7 x}{4 y}

Solve separable ODE:

y = \frac{c _{1} + 7 x ^{2}}{2}, y = - \frac{c _{1} + 7 x ^{2}}{2}

y = \frac{c _{1} + 7 x ^{2}}{2}, y = - \frac{c _{1} + 7 x ^{2}}{2}

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What is the solution for (dy)/(dx)=(7x)/(4y) ?
The solution for (dy)/(dx)=(7x)/(4y) is y=(sqrt(c_{1)+7x^2})/2 ,y=-(sqrt(c_{1)+7x^2})/2