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Popular >

f^'(x)=4f(x)

Solution

f^{^{'}} (x) = 4 f (x)

Solution

f (x) = e^{4 x + c_{1}}

Solution steps

f^{'} (x) = 4 f (x)

Solve separable ODE:

f (x) = e^{4 x + c_{1}}

f (x) = e^{4 x + c_{1}}

Graph

Popular Examples

sqrt(x-1)(dy)/(dx)= x/y ,y=1,y>0,x=2

x - 1 \frac{d y}{d x} = \frac{x}{y}, y = 1, y > 0, x = 2

y^'-y/(1+e^x)=0

y^{^{'}} - \frac{y}{1 + e ^{x}} = 0

-(dy)/(dx)=-y^2+2

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

cos^2(x)(y^')=y^2+1

cos^{2} (x) (y^{^{'}}) = y^{2} + 1

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

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

Frequently Asked Questions (FAQ)

What is the solution for f^'(x)=4f(x) ?
The solution for f^'(x)=4f(x) is f(x)=e^{4x+c_{1}}