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Popular >

(df)/(dx)+f(x)=0

Solution

\frac{df}{d x} + f (x) = 0

Solution

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

Solution steps

\frac{df}{d x} + f = 0

Solve separable ODE:

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

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

Graph

Popular Examples

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

\frac{d y}{d x} = \frac{x ^{2 - 1}}{y ^{2}}

y^'=(2x+sec^2(x))/(2y),y(0)=-5

y^{^{'}} = \frac{2 x + sec ^{2} ( x )}{2 y}, y (0) = - 5

2sin(2x)dx+3e^{ey}dy=2xdx

2 sin (2 x) d x + 3 e^{ey} d y = 2 x d x

(dy)/(dx)=2y^2+2y-12

\frac{d y}{d x} = 2 y^{2} + 2 y - 12

x(dy)/(dx)-2y=0,y=4x

x \frac{d y}{d x} - 2 y = 0, y = 4 x

Frequently Asked Questions (FAQ)

What is the solution for (df)/(dx)+f(x)=0 ?
The solution for (df)/(dx)+f(x)=0 is f(x)=e^{-x+c_{1}}