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Popular >

(dy)/(dx)=y(1+ln(x))

Solution

\frac{d y}{d x} = y (1 + ln (x))

Solution

y = c_{1} x^{x}

Solution steps

\frac{d y}{d x} = y (1 + ln (x))

Solve separable ODE:

y = c_{1} x^{x}

y = c_{1} x^{x}

Popular Examples

5y^{''}+y^'=-8x

5 y^{^{''}} + y^{^{'}} = - 8 x

integral of 1/(sqrt(7-6x-x^2))

\int \frac{1}{7 - 6 x - x ^{2}} d x

derivative of 7x^2 derivative of

7 x^{2}

(\partial)/(\partial x)(xe^{yx^2}sin(x))

\frac{\partial}{\partial x} (x e^{y x^{2}} sin (x))

integral from 0 to 1 of 1

\int_{0}^{1} 1

Frequently Asked Questions (FAQ)

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