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Popular >

x(dy)/(dx)+6y=3xy

Solution

x \frac{d y}{d x} + 6 y = 3 x y

Solution

y = \frac{e ^{3 x + c_{1}}}{x ^{6}}

Solution steps

x \frac{d y}{d x} + 6 y = 3 x y

Solve separable ODE:

y = \frac{e ^{3 x + c_{1}}}{x ^{6}}

y = \frac{e ^{3 x + c_{1}}}{x ^{6}}

Popular Examples

y^'=-0.2y,y(0)=ce^{0.2t}

y^{^{'}} = - 0.2 y, y (0) = c e^{0.2 t}

(dy)/(dx)+12x^2y=7x^2,y(0)=2

\frac{d y}{d x} + 12 x^{2} y = 7 x^{2}, y (0) = 2

\frac{d y}{d x} = - y x

y^'+9xy=8x,y(0)=6

y^{^{'}} + 9 x y = 8 x, y (0) = 6

(dy)/(dx)=(3x^2+4x+2)/(2y+1)

\frac{d y}{d x} = \frac{3 x ^{2} + 4 x + 2}{2 y + 1}

Frequently Asked Questions (FAQ)

What is the solution for x(dy)/(dx)+6y=3xy ?
The solution for x(dy)/(dx)+6y=3xy is y=(e^{3x+c_{1}})/(x^6)