What is the solution for (dy)/(dx)=x^5(y-3),y(0)=5 ?

The solution for (dy)/(dx)=x^5(y-3),y(0)=5 is y=2e^{(x^6)/6}+3

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(dy)/(dx)=x^5(y-3),y(0)=5

\frac{d y}{d x} = x^{5} (y - 3), y (0) = 5

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

Solution steps

\frac{d y}{d x} = x^{5} (y - 3)

Solve separable ODE:

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

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

\int (x + 1) (x + 2)^{6} d x

\int 5 x^{4} - 4 x^{5} d x

35 + 35 sin (\frac{- 2 π t - π}{2})

\frac{d}{d x} (\frac{16}{( 2 x + 1 ) ^{3}})

\frac{\partial}{\partial x} (4 x - 4 x^{3})

What is the solution for (dy)/(dx)=x^5(y-3),y(0)=5 ?
The solution for (dy)/(dx)=x^5(y-3),y(0)=5 is y=2e^{(x^6)/6}+3