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Popular >

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

Solution

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

Solution

x = 2 t^{2} + c_{1} t

Solution steps

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

Solve linear ODE:

x = 2 t^{2} + c_{1} t

x = 2 t^{2} + c_{1} t

Popular Examples

integral of (8x)

\int (8 x) d x

f^{''}(x)=5x^2-10x-6/(x^4)

f^{^{''}} (x) = 5 x^{2} - 10 x - \frac{6}{x ^{4}}

integral of (e^{7ln(x)})/(x^8)

\int \frac{e ^{7 l n (x)}}{x ^{8}} d x

derivative of (x^3-3/(2x+5))

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

integral of 1/(sqrt(196+x^2))

\int \frac{1}{196 + x ^{2}} d x

Frequently Asked Questions (FAQ)

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