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Popular >

((dx)/(dt))=-x

Solution

(\frac{d x}{d t}) = - x

Solution

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

Solution steps

(\frac{d x}{d t}) = - x

Solve separable ODE:

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

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

Graph

Popular Examples

2v^2y^2dy+2vy^3dv+v^2y^2dy+y^2dy=0

2 v^{2} y^{2} d y + 2 v y^{3} d v + v^{2} y^{2} d y + y^{2} d y = 0

\frac{d v}{d t} = 4 - 7 v

e^x(dy)/(dx)+y^3=xy^3,y=1,x=0

e^{x} \frac{d y}{d x} + y^{3} = x y^{3}, y = 1, x = 0

(dy)/(dx)=y(2x-3)

\frac{d y}{d x} = y (2 x - 3)

y^{^{'}} = e^{4 x - 5 y}

Frequently Asked Questions (FAQ)

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