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Popular >

(dy)/(dx)=12x^2y

Solution

\frac{d y}{d x} = 12 x^{2} y

Solution

y = e^{4 x^{3} + c_{1}}

Solution steps

\frac{d y}{d x} = 12 x^{2} y

Solve separable ODE:

y = e^{4 x^{3} + c_{1}}

y = e^{4 x^{3} + c_{1}}

Graph

Popular Examples

(dy)/(dx)=\sqrt[3]{y}

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

dx+cos(t)xdt-cos(t)dt=0,x(0)=-1

d x + cos (t) x d t - cos (t) d t = 0, x (0) = - 1

(dx)/(-8x)=(dy)/(-2y)

\frac{d x}{- 8 x} = \frac{d y}{- 2 y}

(3x^2+2)^3(dy)/(dx)-xy^2=0

(3 x^{2} + 2)^{3} \frac{d y}{d x} - x y^{2} = 0

(dy)/(dt)=(yt)^{1/5}

\frac{d y}{d t} = (y t)^{\frac{1}{5}}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=12x^2y ?
The solution for (dy)/(dx)=12x^2y is y=e^{4x^3+c_{1}}