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Popular >

f^'(x)=5f(x)

Solution

f^{^{'}} (x) = 5 f (x)

Solution

f (x) = e^{5 x + c_{1}}

Solution steps

f^{'} (x) = 5 f (x)

Solve separable ODE:

f (x) = e^{5 x + c_{1}}

f (x) = e^{5 x + c_{1}}

Graph

Popular Examples

y^'-y=2,cos(5t)y(0)=0

y^{^{'}} - y = 2, cos (5 t) y (0) = 0

(dy)/(dx)=-4/4 4x^4y^2

\frac{d y}{d x} = - \frac{4}{4} 4 x^{4} y^{2}

y^{^{'}} + 250 y = 5

d/(dt)(45.44x)=-28.92x

\frac{d}{d t} (45.44 x) = - 28.92 x

(dy)/(dt)=0.09-(6y)/(2000)

\frac{d y}{d t} = 0.09 - \frac{6 y}{2000}

Frequently Asked Questions (FAQ)

What is the solution for f^'(x)=5f(x) ?
The solution for f^'(x)=5f(x) is f(x)=e^{5x+c_{1}}