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Popular Calculus >

(dx)/(dt)=4xt^5

Solution

\frac{d x}{d t} = 4 x t^{5}

Solution

x = e^{\frac{2 t ^{6}}{3} + c_{1}}

Solution steps

\frac{d x}{d t} = 4 x t^{5}

Solve separable ODE:

x = e^{\frac{2 t ^{6}}{3} + c_{1}}

x = e^{\frac{2 t ^{6}}{3} + c_{1}}

Graph

Popular Examples

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

d er i v a t i v e \frac{x + 2}{x ^{3} + x - 6}

limit as x approaches 14 of sqrt(x+2)

x \to 14 lim (x + 2)

derivative of g(x)=ln(xe^{-9x})

d er i v a t i v e g (x) = ln (x e^{- 9 x})

a re a 4 x + 12, x^{2}

integral of sech(4x)tanh(4x)

\int sech (4 x) tanh (4 x) d x

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=4xt^5 ?
The solution for (dx)/(dt)=4xt^5 is x=e^{(2t^6)/3+c_{1}}