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Popular >

(dx)/(dt)=ax

Solution

\frac{d x}{d t} = a x

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

dx-(8xy+3y)dy=0

d x - (8 x y + 3 y) d y = 0

(y^2+1)sin(x)dx-ycos(x)dy=0,y(0)=0

(y^{2} + 1) sin (x) d x - y cos (x) d y = 0, y (0) = 0

(dy)/(dx)=(sqrt(y))/(2x+1)

\frac{d y}{d x} = \frac{y}{2 x + 1}

y^'-a^2ky(t)+b^2=0

y^{^{'}} - a^{2} k y (t) + b^{2} = 0

y^{^{'}} - 2 t y^{3} = 0

Frequently Asked Questions (FAQ)

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