What is the solution for (dy)/(dx)=(x^5(y-6)),y(0)=8 ?

The solution for (dy)/(dx)=(x^5(y-6)),y(0)=8 is y=2e^{(x^6)/6}+6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=(x^5(y-6)),y(0)=8

\frac{d y}{d x} = (x^{5} (y - 6)), y (0) = 8

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

Solution steps

\frac{d y}{d x} = (x^{5} (y - 6))

Solve separable ODE:

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

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

y x^{2} d x - 3 y d x = d y

\frac{d y}{d t} = \frac{t}{t ^{2} y + y}, y (0) = 4

(x^{2} + 1) (tan (y)) y^{^{'}} = x

y^{^{'}} = (1 + 4 x) y, y (0) = 1

(x^{- 2} y^{- 5}) d x + (x^{- 3} y^{- 4}) d y = 0

What is the solution for (dy)/(dx)=(x^5(y-6)),y(0)=8 ?
The solution for (dy)/(dx)=(x^5(y-6)),y(0)=8 is y=2e^{(x^6)/6}+6