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Popular >

(dy)/(dx)=x(y-2)

Solution

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

Solution

y = e^{\frac{x ^{2}}{2} + c_{1}} + 2

Solution steps

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

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + c_{1}} + 2

y = e^{\frac{x ^{2}}{2} + c_{1}} + 2

Popular Examples

(t^2-6t+5)(dy)/(dt)=y

(t^{2} - 6 t + 5) \frac{d y}{d t} = y

(dy)/(dt)=(3t^2+4t+2)/(2(y-1))

\frac{d y}{d t} = \frac{3 t ^{2} + 4 t + 2}{2 ( y - 1 )}

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

2 y + 3 + (2 x - 4) y^{^{'}} = 0

\frac{d y}{d t} = - 7 y

(dy}{dx}=\frac{ln(x))/y

\frac{d y}{d x} = \frac{ln ( x )}{y}

Frequently Asked Questions (FAQ)

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