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Popular >

x^'-a*x=0

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

(dy)/(dx)y^2-x^3=1

\frac{d y}{d x} y^{2} - x^{3} = 1

y^'=0.01y-100,y(0)=20000

y^{^{'}} = 0.01 y - 100, y (0) = 20000

(1+x)dx+(e^xdx+e^{2y}dy)(1+x^2)=0

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

sqrt(x)y^'-sqrt(y)=xsqrt(y)

x y^{^{'}} - y = x y

y^{^{'}} = 7 sin (7 x) y

Frequently Asked Questions (FAQ)

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