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Popular >

x^'-ax=0

Solution

x^{^{'}} - a x = 0

Solution

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

Solution steps

x^{'} (t) - a x (t) = 0

Solve separable ODE:

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

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

Popular Examples

(dy)/(dt)+2y=6,y(0)=0

\frac{d y}{d t} + 2 y = 6, y (0) = 0

3y+5+(3x-3)(dy)/(dx)=0

3 y + 5 + (3 x - 3) \frac{d y}{d x} = 0

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

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

\frac{d y}{d x} = a - b y

y^'+5yx= x/2-xy

y^{^{'}} + 5 y x = \frac{x}{2} - x y

Frequently Asked Questions (FAQ)

What is the solution for x^'-ax=0 ?
The solution for x^'-ax=0 is x=e^{at+c_{1}}