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Popular >

x^'=-5x

Solution

x^{^{'}} = - 5 x

Solution

x = e^{- 5 t + c_{1}}

Solution steps

x^{'} (t) = - 5 x

Solve separable ODE:

x = e^{- 5 t + c_{1}}

x = e^{- 5 t + c_{1}}

Popular Examples

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

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

(dy)/(dx)=5xsec(y)

\frac{d y}{d x} = 5 x sec (y)

3x(y^2+1)dx+y(x^2+1)dy=0

3 x (y^{2} + 1) d x + y (x^{2} + 1) d y = 0

(dy)/(dx)=-y,y(0)=1

\frac{d y}{d x} = - y, y (0) = 1

y^2y^'-cos(x)=0

y^{2} y^{^{'}} - cos (x) = 0

Frequently Asked Questions (FAQ)

What is the solution for x^'=-5x ?
The solution for x^'=-5x is x=e^{-5t+c_{1}}