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Popular >

(dx)/(dt)=xt

Solution

\frac{d x}{d t} = x t

Solution

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

Solution steps

\frac{d x}{d t} = x t

Solve separable ODE:

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

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

Popular Examples

y^{''}-2y^'+1y=0,y(0)=8,y^'(0)=2

y^{^{''}} - 2 y^{^{'}} + 1 y = 0, y (0) = 8, y^{^{'}} (0) = 2

(\partial)/(\partial y)(-2e^xcos(yz))

\frac{\partial}{\partial y} (- 2 e^{x} cos (yz))

integral of (1/(sqrt(2x)))

\int (\frac{1}{2 x}) d x

derivative of F(x^4)

\frac{d}{d x} (F (x^{4}))

derivative of f(x)=2x^2-x+1 derivative of

f (x) = 2 x^{2} - x + 1

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=xt ?
The solution for (dx)/(dt)=xt is x=e^{(t^2)/2+c_{1}}