What is the solution for (dy)/(dx)= x/(16y) ?

The solution for (dy)/(dx)= x/(16y) is y=(sqrt(c_{1)+x^2})/4 ,y=-(sqrt(c_{1)+x^2})/4

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(dy)/(dx)= x/(16y)

\frac{d y}{d x} = \frac{x}{16 y}

y = \frac{c _{1} + x ^{2}}{4}, y = - \frac{c _{1} + x ^{2}}{4}

Solution steps

\frac{d y}{d x} = \frac{x}{16 y}

Solve separable ODE:

y = \frac{c _{1} + x ^{2}}{4}, y = - \frac{c _{1} + x ^{2}}{4}

y = \frac{c _{1} + x ^{2}}{4}, y = - \frac{c _{1} + x ^{2}}{4}

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

x \to - 1 lim (\frac{sin ( x )}{x})

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

\frac{125}{x ^{2} + 25}

\frac{d}{d x} (x^{4} - 4 x^{2} + 2)

What is the solution for (dy)/(dx)= x/(16y) ?
The solution for (dy)/(dx)= x/(16y) is y=(sqrt(c_{1)+x^2})/4 ,y=-(sqrt(c_{1)+x^2})/4