What is the solution for (dy)/(dx)+7xy=8x,y(0)=6 ?

The solution for (dy)/(dx)+7xy=8x,y(0)=6 is y=(34e^{-(7x^2)/2})/(7)+8/7

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(dy)/(dx)+7xy=8x,y(0)=6

\frac{d y}{d x} + 7 x y = 8 x, y (0) = 6

y = \frac{34 e ^{- \frac{7 x ^{2}}{2}}}{7} + \frac{8}{7}

Solution steps

\frac{d y}{d x} + 7 x y = 8 x

Solve separable ODE:

y = \frac{34 e ^{- \frac{7 x ^{2}}{2}}}{7} + \frac{8}{7}

y = \frac{34 e ^{- \frac{7 x ^{2}}{2}}}{7} + \frac{8}{7}

\frac{d y}{d x} + 7 x y = 8 x, y (0) = 5

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

\frac{d V}{d t} = 90 - \frac{7 V}{100}, V (0) = 0

\frac{d y}{d x} = \frac{3 x ^{2} y ^{2}}{6 + y}

10 - 6 y x^{2} + 1 \frac{d y}{d x} = 0, y (0) = 2

What is the solution for (dy)/(dx)+7xy=8x,y(0)=6 ?
The solution for (dy)/(dx)+7xy=8x,y(0)=6 is y=(34e^{-(7x^2)/2})/(7)+8/7