What is the solution for 11x-4ysqrt(x^2+1)y^'=0,y(0)=3 ?

The solution for 11x-4ysqrt(x^2+1)y^'=0,y(0)=3 is y=sqrt((11\sqrt{x^2+1)+7)/2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

11x-4ysqrt(x^2+1)y^'=0,y(0)=3

11 x - 4 y x^{2} + 1 y^{^{'}} = 0, y (0) = 3

y = \frac{11 x ^{2} + 1 + 7}{2}

Solution steps

11 x - 4 y x^{2} + 1 y^{'} (x) = 0

Solve separable ODE:

y = \frac{11 x ^{2} + 1 + 7}{2}

y = \frac{11 x ^{2} + 1 + 7}{2}

\frac{d y}{d x} = \frac{y + x cos ^{2} ( \frac{y}{x} )}{x}

\frac{d}{d x} (\frac{0.9 e ^{x}}{tan ( x )})

x \to 2 lim ((4 x + 1)^{\frac{1}{2}})

\int \frac{4 x ^{2} + 5}{0.4 x ^{3} + 1.5 x} d x

\frac{\partial}{\partial x} (sin (x^{2} - 3 x y))

What is the solution for 11x-4ysqrt(x^2+1)y^'=0,y(0)=3 ?
The solution for 11x-4ysqrt(x^2+1)y^'=0,y(0)=3 is y=sqrt((11\sqrt{x^2+1)+7)/2}