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Popular >

y^'+6xy=18x

Solution

y^{^{'}} + 6 x y = 18 x

Solution

y = e^{- 3 x^{2} + c_{1}} + 3

Solution steps

y^{'} (x) + 6 x y = 18 x

Solve separable ODE:

y = e^{- 3 x^{2} + c_{1}} + 3

y = e^{- 3 x^{2} + c_{1}} + 3

Popular Examples

3y(dy)/(dx)=5x^2

3 y \frac{d y}{d x} = 5 x^{2}

(dx)/(dt)=(2-x)(1-t)

\frac{d x}{d t} = (2 - x) (1 - t)

y/(cos(x))(dy)/(dx)= 1/2

\frac{y}{cos ( x )} \frac{d y}{d x} = \frac{1}{2}

(dy)/(dx)+4xy^3=0,y(0)= 1/2

\frac{d y}{d x} + 4 x y^{3} = 0, y (0) = \frac{1}{2}

(dy)/(dt)=-ky+100k,y(0)=50

\frac{d y}{d t} = - k y + 100 k, y (0) = 50

Frequently Asked Questions (FAQ)

What is the solution for y^'+6xy=18x ?
The solution for y^'+6xy=18x is y=e^{-3x^2+c_{1}}+3