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Popular >

(dx)/(dt)=7xt^5

Solution

\frac{d x}{d t} = 7 x t^{5}

Solution

x = e^{\frac{7 t ^{6}}{6} + c_{1}}

Solution steps

\frac{d x}{d t} = 7 x t^{5}

Solve separable ODE:

x = e^{\frac{7 t ^{6}}{6} + c_{1}}

x = e^{\frac{7 t ^{6}}{6} + c_{1}}

Popular Examples

(dy)/(dx)+sqrt((((1-y^2))/((1-x^2))))=0

\frac{d y}{d x} + (\frac{( 1 - y ^{2} )}{( 1 - x ^{2} )}) = 0

yy^'-2ex=0,y(0)=3

y y^{^{'}} - 2 e x = 0, y (0) = 3

x*(dy)/(dx)-y=6x^4y

x \cdot \frac{d y}{d x} - y = 6 x^{4} y

x y^{^{'}} + y = \frac{1}{3}

(dy)/(dx)=y*tan(x)

\frac{d y}{d x} = y \cdot tan (x)

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=7xt^5 ?
The solution for (dx)/(dt)=7xt^5 is x=e^{(7t^6)/6+c_{1}}