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Popular >

(dx)/(dt)=ax+b

Solution

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

Solution

x = \frac{e ^{t a + c_{1} a}}{a} - \frac{b}{a}

Solution steps

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

Solve separable ODE:

x = \frac{e ^{t a + c_{1} a}}{a} - \frac{b}{a}

x = \frac{e ^{t a + c_{1} a}}{a} - \frac{b}{a}

Popular Examples

derivative of 7cos(4x)derivative of

7 cos (4 x)

-2y^{''}+4y^'+3y=1

- 2 y^{^{''}} + 4 y^{^{'}} + 3 y = 1

f(x)=(x^2+2)(x^4+1)

f (x) = (x^{2} + 2) (x^{4} + 1)

cos(t)y^'-sin(t)y=t^2

cos (t) y^{^{'}} - sin (t) y = t^{2}

simplify x/(x+c/x)simplify

\frac{x}{x + \frac{c}{x}}

Frequently Asked Questions (FAQ)

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