What is the solution for (dy)/(dx)=(3x)/(4y) ?

The solution for (dy)/(dx)=(3x)/(4y) is y=(sqrt(c_{1)+3x^2})/2 ,y=-(sqrt(c_{1)+3x^2})/2

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(dy)/(dx)=(3x)/(4y)

\frac{d y}{d x} = \frac{3 x}{4 y}

y = \frac{c _{1} + 3 x ^{2}}{2}, y = - \frac{c _{1} + 3 x ^{2}}{2}

Solution steps

\frac{d y}{d x} = \frac{3 x}{4 y}

Solve separable ODE:

y = \frac{c _{1} + 3 x ^{2}}{2}, y = - \frac{c _{1} + 3 x ^{2}}{2}

y = \frac{c _{1} + 3 x ^{2}}{2}, y = - \frac{c _{1} + 3 x ^{2}}{2}

sec (3 sin (2 x))

x \to 0 lim (e^{x} - 1)

(- 3, - 7), (2, 3)

\int \frac{1}{cos ^{2} ( s )} d s

\frac{d}{d x} (\frac{16 x}{( x ^{2} + 4 ) ^{2}})

What is the solution for (dy)/(dx)=(3x)/(4y) ?
The solution for (dy)/(dx)=(3x)/(4y) is y=(sqrt(c_{1)+3x^2})/2 ,y=-(sqrt(c_{1)+3x^2})/2