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Popular >

(dr)/(dt)=4rt

Solution

\frac{d r}{d t} = 4 r t

Solution

r = e^{2 t^{2} + c_{1}}

Solution steps

\frac{d r}{d t} = 4 r t

Solve separable ODE:

r = e^{2 t^{2} + c_{1}}

r = e^{2 t^{2} + c_{1}}

Graph

Popular Examples

(dy)/(dx)=(-0.7)/(cos(y)),y(0)= pi/4

\frac{d y}{d x} = \frac{- 0.7}{cos ( y )}, y (0) = \frac{π}{4}

y^'=((3y)/(xln(x)))

y^{^{'}} = (\frac{3 y}{x ln ( x )})

(dy)/(dt)-0.04y=20000

\frac{d y}{d t} - 0.04 y = 20000

y^'= y/(9t^2+1)

y^{^{'}} = \frac{y}{9 t ^{2} + 1}

(dy)/(dx)+ky(x)^2=-g

\frac{d y}{d x} + k y (x)^{2} = - g

Frequently Asked Questions (FAQ)

What is the solution for (dr)/(dt)=4rt ?
The solution for (dr)/(dt)=4rt is r=e^{2t^2+c_{1}}