What is the solution for (dy)/(dx)= x/(25y) ?

The solution for (dy)/(dx)= x/(25y) is y=(sqrt(c_{1)+x^2})/5 ,y=-(sqrt(c_{1)+x^2})/5

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(dy)/(dx)= x/(25y)

\frac{d y}{d x} = \frac{x}{25 y}

y = \frac{c _{1} + x ^{2}}{5}, y = - \frac{c _{1} + x ^{2}}{5}

Solution steps

\frac{d y}{d x} = \frac{x}{25 y}

Solve separable ODE:

y = \frac{c _{1} + x ^{2}}{5}, y = - \frac{c _{1} + x ^{2}}{5}

y = \frac{c _{1} + x ^{2}}{5}, y = - \frac{c _{1} + x ^{2}}{5}

\int_{0}^{1} 1 + x^{3} d x

x \to 1 lim (e^{x} (x^{3} - 4))

(5) (0.5)

f (x) = 5 sec (x)

\int tan (x) + 4^{x} d x

What is the solution for (dy)/(dx)= x/(25y) ?
The solution for (dy)/(dx)= x/(25y) is y=(sqrt(c_{1)+x^2})/5 ,y=-(sqrt(c_{1)+x^2})/5