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Popular >

(dx)/(dt)=rx

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

derivative of-cos(piy)dx derivative of

- cos (π y) d x

integral of (3x^2-1)e^{x^3-x}

\int (3 x^{2} - 1) e^{x^{3} - x} d x

derivative of sqrt(35x)ln(10x)derivative of

35 x ln (10 x)

(1+x^4)dy+x(1+4y^2)dx=0,y(1)=0

(1 + x^{4}) d y + x (1 + 4 y^{2}) d x = 0, y (1) = 0

4 y^{^{''}} - y = 1

Frequently Asked Questions (FAQ)

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