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Popular >

(dx)/(dt)=t^2x

Solution

\frac{d x}{d t} = t^{2} x

Solution

x = e^{\frac{t ^{3}}{3} + c_{1}}

Solution steps

\frac{d x}{d t} = t^{2} x

Solve separable ODE:

x = e^{\frac{t ^{3}}{3} + c_{1}}

x = e^{\frac{t ^{3}}{3} + c_{1}}

Graph

Popular Examples

integral of (y+5y^7)/(y^4)

\int \frac{y + 5 y ^{7}}{y ^{4}} d y

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\frac{d}{d x} (e^{\frac{1 - x}{1 + x}})

integral of (x^3-9x+6)/(x^2)

\int \frac{x ^{3} - 9 x + 6}{x ^{2}} d x

integral from 0 to 30 of 3/5 x

\int_{0}^{30} \frac{3}{5} x d x

integral of (2e^{9x})/(e^{3x)+1}

\int \frac{2 e ^{9 x}}{e ^{3 x} + 1} d x

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=t^2x ?
The solution for (dx)/(dt)=t^2x is x=e^{(t^3)/3+c_{1}}