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Popular Calculus >

(dy)/(dx)=12xy-2x

Solution

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

Solution

y = \frac{e ^{6 x^{2} + c_{1}}}{6} + \frac{1}{6}

Solution steps

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

Solve separable ODE:

y = \frac{e ^{6 x^{2} + c_{1}}}{6} + \frac{1}{6}

y = \frac{e ^{6 x^{2} + c_{1}}}{6} + \frac{1}{6}

Graph

Popular Examples

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(dx)/(dt)+x/(100)=75,x(0)=5000

(dy)/(dx)=-x/(5y)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=12xy-2x ?
The solution for (dy)/(dx)=12xy-2x is y=(e^{6x^2+c_{1}})/6+1/6