What is the solution for (dy)/(dx)=x^5(y-2),y(0)=6 ?

The solution for (dy)/(dx)=x^5(y-2),y(0)=6 is y=4e^{(x^6)/6}+2

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-2),y(0)=6

\frac{d y}{d x} = x^{5} (y - 2), y (0) = 6

y = 4 e^{\frac{x ^{6}}{6}} + 2

Solution steps

\frac{d y}{d x} = x^{5} (y - 2)

Solve separable ODE:

y = 4 e^{\frac{x ^{6}}{6}} + 2

y = 4 e^{\frac{x ^{6}}{6}} + 2

y^{^{'}} + tan (2 \cdot x) y = 0, y (0) = 5

V^{^{'}} = 4 kπ (\frac{3}{4 π})^{\frac{2}{3}} V^{\frac{2}{3}}

y^{^{'}} = \frac{21 x}{y}

\frac{d t}{d y} = (2 t y^{2})

What is the solution for (dy)/(dx)=x^5(y-2),y(0)=6 ?
The solution for (dy)/(dx)=x^5(y-2),y(0)=6 is y=4e^{(x^6)/6}+2