What is the solution for (dy)/(dx)=x^6(y-2),y(0)=6 ?

The solution for (dy)/(dx)=x^6(y-2),y(0)=6 is y=4e^{(x^7)/7}+2

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(dy)/(dx)=x^6(y-2),y(0)=6

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

y = 4 e^{\frac{x ^{7}}{7}} + 2

Solution steps

\frac{d y}{d x} = x^{6} (y - 2)

Solve separable ODE:

y = 4 e^{\frac{x ^{7}}{7}} + 2

y = 4 e^{\frac{x ^{7}}{7}} + 2

\int ((x^{2} + 4)) d x

x \to - 5 lim (12 x + 1)

h (x) = (x + x^{- 1})^{3}

\int e^{4 x + 9} d x

\frac{d}{d x} (4 x (x^{2} - 2))

What is the solution for (dy)/(dx)=x^6(y-2),y(0)=6 ?
The solution for (dy)/(dx)=x^6(y-2),y(0)=6 is y=4e^{(x^7)/7}+2