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Popular >

-x*f(x)=(df)/(dx)

Solution

- x \cdot f (x) = \frac{df}{d x}

Solution

f (x) = e^{- \frac{x ^{2}}{2} - c_{1}}

Solution steps

- x \cdot f = \frac{df}{d x}

Solve separable ODE:

f (x) = e^{- \frac{x ^{2}}{2} - c_{1}}

f (x) = e^{- \frac{x ^{2}}{2} - c_{1}}

Popular Examples

(dx}{dt}=\frac{t+sin^2(t))/x ,x(0)=1

\frac{d x}{d t} = \frac{t + sin ^{2} ( t )}{x}, x (0) = 1

(dy)/(dx)=0.9(y-300)

\frac{d y}{d x} = 0.9 (y - 300)

(dy)/1 =(dx)/(1+y)

\frac{d y}{1} = \frac{d x}{1 + y}

(dx)/(dt)=-ksqrt(x),x(0)=5

\frac{d x}{d t} = - k x, x (0) = 5

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

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

Frequently Asked Questions (FAQ)

What is the solution for -x*f(x)=(df)/(dx) ?
The solution for -x*f(x)=(df)/(dx) is f(x)=e^{-(x^2)/2-c_{1}}