What is the solution for (dy)/(dx)=(8x)/(7y) ?

The solution for (dy)/(dx)=(8x)/(7y) is y=sqrt((8x^2)/7+c_{1)},y=-sqrt((8x^2)/7+c_{1)}

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(dy)/(dx)=(8x)/(7y)

\frac{d y}{d x} = \frac{8 x}{7 y}

y = \frac{8 x ^{2}}{7} + c_{1}, y = - \frac{8 x ^{2}}{7} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{8 x}{7 y}

Solve separable ODE:

y = \frac{8 x ^{2}}{7} + c_{1}, y = - \frac{8 x ^{2}}{7} + c_{1}

y = \frac{8 x ^{2}}{7} + c_{1}, y = - \frac{8 x ^{2}}{7} + c_{1}

\int ln (\frac{1 + x}{1 - x}) d x

t an g e n t (3 x + 28)^{\frac{1}{2}}

\int e^{\frac{y}{x}} d y

t an g e n t f (x) = 9 - ln (x), at x = 1

\int \frac{1}{x 25 x ^{2} + 1} d x

What is the solution for (dy)/(dx)=(8x)/(7y) ?
The solution for (dy)/(dx)=(8x)/(7y) is y=sqrt((8x^2)/7+c_{1)},y=-sqrt((8x^2)/7+c_{1)}