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Popular >

x^'=rx-12

Solution

x^{^{'}} = r x - 12

Solution

x = \frac{e ^{t r + c_{1} r}}{r} + \frac{12}{r}

Solution steps

x^{'} (t) = r x (t) - 12

Solve separable ODE:

x = \frac{e ^{t r + c_{1} r}}{r} + \frac{12}{r}

x = \frac{e ^{t r + c_{1} r}}{r} + \frac{12}{r}

Graph

Popular Examples

6y^{''}+9y^'-y=23

6 y^{^{''}} + 9 y^{^{'}} - y = 23

derivative of sqrt(ycos(x))

\frac{d}{d x} (y cos (x))

inverse oflaplace 1/(1-s)inverse laplace

\frac{1}{1 - s}

derivative of y=(cos(x))/(sin(x))derivative of

y = \frac{cos ( x )}{sin ( x )}

limit as x approaches 5 of (x-6)/(x-5)

x \to 5 lim (\frac{x - 6}{x - 5})

Frequently Asked Questions (FAQ)

What is the solution for x^'=rx-12 ?
The solution for x^'=rx-12 is x=(e^{tr+c_{1}r})/r+(12)/r