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Popular >

(f^'(x))/(f(x))= 2/x

Solution

\frac{f ^{^{'}} ( x )}{f ( x )} = \frac{2}{x}

Solution

f (x) = c_{1} x^{2}

Solution steps

\frac{f ^{'} ( x )}{f ( x )} = \frac{2}{x}

Solve separable ODE:

f (x) = c_{1} x^{2}

f (x) = c_{1} x^{2}

Popular Examples

(dy)/(dx)=(ycos(x))/(3x)

\frac{d y}{d x} = \frac{y cos ( x )}{3 x}

(t^2+1)dx=(x+4)dt

(t^{2} + 1) d x = (x + 4) d t

2y(dy)/(dx)=xe^x

2 y \frac{d y}{d x} = x e^{x}

(dy)/(dx)y=arccsc(5x^2+1)

\frac{d y}{d x} y = arccsc (5 x^{2} + 1)

(dy}{dx}=\frac{10x)/y

\frac{d y}{d x} = \frac{10 x}{y}

Frequently Asked Questions (FAQ)

What is the solution for (f^'(x))/(f(x))= 2/x ?
The solution for (f^'(x))/(f(x))= 2/x is f(x)=c_{1}x^2