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Popular >

t^2(dx)/(dt)=2tx+1

Solution

t^{2} \frac{d x}{d t} = 2 t x + 1

Solution

x = - \frac{1}{3 t} + c_{1} t^{2}

Solution steps

t^{2} \frac{d x}{d t} = 2 t x + 1

Solve linear ODE:

x = - \frac{1}{3 t} + c_{1} t^{2}

x = - \frac{1}{3 t} + c_{1} t^{2}

Popular Examples

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\int \frac{1}{x ^{2} ( 1 + \frac{1}{x} ) ^{3}} d x

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\frac{d}{d x} (2 x^{3} - 3 x^{2} - 36 x + 5)

integral from 0 to 1 of 5x^4e^{-x}

\int_{0}^{1} 5 x^{4} e^{- x} d x

integral of 4/(x^2-14x+49)

\int \frac{4}{x ^{2} - 14 x + 49} d x

(\partial)/(\partial x)(cos^2(5x))

\frac{\partial}{\partial x} (cos^{2} (5 x))

Frequently Asked Questions (FAQ)

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