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Popular >

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

Solution

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

Solution

y = e^{x + c_{1}} x

Solution steps

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

Solve separable ODE:

y = e^{x + c_{1}} x

y = e^{x + c_{1}} x

Graph

Popular Examples

y^'=(1+2y)/(sqrt(4-x^2)),y(1)=0

y^{^{'}} = \frac{1 + 2 y}{4 - x ^{2}}, y (1) = 0

\frac{d v}{d t} = 5 - 4 v

(dy)/(dx)y=sinh(11x)

\frac{d y}{d x} y = sinh (11 x)

x \frac{d v}{d x} = v^{2}

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

\frac{1}{y + y} d y = \frac{1}{x + x} d x

Frequently Asked Questions (FAQ)

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