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Popular >

(dy)/(dx)=yln(2x)

Solution

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

Solution

y = e^{- x + c_{1}} (2 x)^{x}

Solution steps

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

Solve separable ODE:

y = e^{- x + c_{1}} (2 x)^{x}

y = e^{- x + c_{1}} (2 x)^{x}

Popular Examples

y=(4-5x^2)(dy)/(dx)

y = (4 - 5 x^{2}) \frac{d y}{d x}

(dy)/(dx)=0.125(y-3)

\frac{d y}{d x} = 0.125 (y - 3)

x^3y^'+(5x^2-8)y=0,y(1)=2

x^{3} y^{^{'}} + (5 x^{2} - 8) y = 0, y (1) = 2

(4y-yx^2)dy-(2x+xy^2)dx=0

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

y^{^{'}} = 2 e^{x - y}

Frequently Asked Questions (FAQ)

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