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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}}

Graph

Popular Examples

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\frac{( x + 1 )}{( x ^{2} + x + 1 )}

integral of (2x^2-1/3)^3

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

(\partial)/(\partial a)(asqrt(x))

\frac{\partial}{\partial a} (a x)

inverse oflaplace 1/(s*(s+5)^2)inverse laplace

\frac{1}{s \cdot ( s + 5 ) ^{2}}

integral from 0 to 4 of (2x^2+8)

\int_{0}^{4} (2 x^{2} + 8) d x

Frequently Asked Questions (FAQ)

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