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Popular >

y^'+4xy=4e^6x

Solution

y^{^{'}} + 4 x y = 4 e^{6} x

Solution

y = e^{- 2 x^{2} + c_{1}} + e^{6}

Solution steps

y^{'} (x) + 4 x y = 4 e^{6} x

Solve separable ODE:

y = e^{- 2 x^{2} + c_{1}} + e^{6}

y = e^{- 2 x^{2} + c_{1}} + e^{6}

Popular Examples

(dy)/(dt)=-0.7654sqrt(y)

\frac{d y}{d t} = - 0.7654 y

(1+e^x)yy^'=e^y

(1 + e^{x}) y y^{^{'}} = e^{y}

y^5(dy)/(dx)=5x^3y^6-15x^3

y^{5} \frac{d y}{d x} = 5 x^{3} y^{6} - 15 x^{3}

((9+x^2)dy)/(dx)-xy=x

\frac{( 9 + x ^{2} ) d y}{d x} - x y = x

y^'=(5x^2-1)/(5+6y)

y^{^{'}} = \frac{5 x ^{2} - 1}{5 + 6 y}

Frequently Asked Questions (FAQ)

What is the solution for y^'+4xy=4e^6x ?
The solution for y^'+4xy=4e^6x is y=e^{-2x^2+c_{1}}+e^6