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Popular >

(dx)/(dt)=kx

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

(dy)/(dx)=y^2cos(x)

\frac{d y}{d x} = y^{2} cos (x)

2(dy)/(dx)=3x^2(y^2-1)

2 \frac{d y}{d x} = 3 x^{2} (y^{2} - 1)

(dr(θ))/(r(θ))=(r(θ)dθ)/(θ^2)

\frac{d r ( θ )}{r ( θ )} = \frac{r ( θ ) d θ}{θ ^{2}}

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

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

y^{^{'}} = 0.2 x y

Frequently Asked Questions (FAQ)

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