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Popular >

e^x(dx)/(dt)=3t^2

Solution

e^{x} \frac{d x}{d t} = 3 t^{2}

Solution

x = ln (t^{3} + c_{1})

Solution steps

e^{x} \frac{d x}{d t} = 3 t^{2}

Solve separable ODE:

x = ln (t^{3} + c_{1})

x = ln (t^{3} + c_{1})

Graph

Popular Examples

derivative of ((3x^2-6)(x^2-2))/(x^2+4)derivative of

\frac{( 3 x ^{2} - 6 ) ( x ^{2} - 2 )}{x ^{2} + 4}

(\partial)/(\partial x)(2y)

\frac{\partial}{\partial x} (2 y)

derivative of (2x/((x^2+1)^2))

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

limit as x approaches infinity of g(x)

x \to \infty lim (g (x))

derivative of (x^2+1/(x^2+4))

\frac{d}{d x} (\frac{x ^{2} + 1}{x ^{2} + 4})

Frequently Asked Questions (FAQ)

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