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Popular >

(dv)/(df)=v*f

Solution

\frac{d v}{df} = v \cdot f

Solution

v = e^{\frac{f ^{2}}{2} + c_{1}}

Solution steps

\frac{d v}{df} = v \cdot f

Solve separable ODE:

v = e^{\frac{f ^{2}}{2} + c_{1}}

v = e^{\frac{f ^{2}}{2} + c_{1}}

Popular Examples

ye^x(dy)/(dx)=e^{-y}+e^{-3x-y}

y e^{x} \frac{d y}{d x} = e^{- y} + e^{- 3 x - y}

y=((x+1)^3)/(x^{3/2)}(dy)/(dx)

y = \frac{( x + 1 ) ^{3}}{x ^{\frac{3}{2}}} \frac{d y}{d x}

y^{^{'}} = y^{3} e^{- x}

(dV)/(dt)=20-5/100 V,V(0)=0

\frac{d V}{d t} = 20 - \frac{5}{100} V, V (0) = 0

y^'=x*y-x-2*y+2

y^{^{'}} = x \cdot y - x - 2 \cdot y + 2

Frequently Asked Questions (FAQ)

What is the solution for (dv)/(df)=v*f ?
The solution for (dv)/(df)=v*f is v=e^{(f^2)/2+c_{1}}