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Popular Calculus >

(dy)/(dx)=xy+12x

Solution

\frac{d y}{d x} = x y + 12 x

Solution

y = e^{\frac{x ^{2}}{2} + c_{1}} - 12

Solution steps

\frac{d y}{d x} = x y + 12 x

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + c_{1}} - 12

y = e^{\frac{x ^{2}}{2} + c_{1}} - 12

Graph

Popular Examples

(\partial}{\partial x}(\frac{x^2)/2+y^4)

\frac{\partial}{\partial x} (\frac{x ^{2}}{2} + y^{4})

derivative of x^4+2x^2-x

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

(\partial)/(\partial x)(1x)

\frac{\partial}{\partial x} (1 x)

(1+y)(dy)/(dt)=6t,\quad y(2)=5

(1 + y) \frac{d y}{d t} = 6 t, y (2) = 5

integral of (x^2-2)/(x+3)

\int \frac{x ^{2} - 2}{x + 3} d x

Frequently Asked Questions (FAQ)

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