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Popular >

(dy)/(dx)=x(y-1)

Solution

\frac{d y}{d x} = x (y - 1)

Solution

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

Solution steps

\frac{d y}{d x} = x (y - 1)

Solve separable ODE:

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

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

Popular Examples

derivative of 4sec(x+tan(x))

\frac{d}{d x} (4 sec (x) + tan (x))

limit as x approaches 0 of x/(e^{5x)-1}

x \to 0 lim (\frac{x}{e ^{5 x} - 1})

derivative of xarctan(sqrt(x))

\frac{d}{d x} (x arctan (x))

integral of x^{7/3}

\int x^{\frac{7}{3}} d x

(\partial)/(\partial z)(x+2y+z)

\frac{\partial}{\partial z} (x + 2 y + z)

Frequently Asked Questions (FAQ)

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