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Popular >

(dx)/(2x)=dt

Solution

\frac{d x}{2 x} = d t

Solution

x = e^{2 t + c_{1}}

Solution steps

\frac{d x}{2 x} = d t

Solve separable ODE:

x = e^{2 t + c_{1}}

x = e^{2 t + c_{1}}

Graph

Popular Examples

(2dy)/y =(2cos(2x))/(sin(2x))dx

\frac{2 d y}{y} = \frac{2 cos ( 2 x )}{sin ( 2 x )} d x

(dv)/(dt)=9.81-10v,v(0)=0

\frac{d v}{d t} = 9.81 - 10 v, v (0) = 0

y^3(dy)/(dx)=2x^4y^4-4x^4

y^{3} \frac{d y}{d x} = 2 x^{4} y^{4} - 4 x^{4}

x^3(dy)/(dx)-sin(x)y=0

x^{3} \frac{d y}{d x} - sin (x) y = 0

y^'=(x^2-3)/(y^2),y(0)=4

y^{^{'}} = \frac{x ^{2} - 3}{y ^{2}}, y (0) = 4

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(2x)=dt ?
The solution for (dx)/(2x)=dt is x=e^{2t+c_{1}}