What is the solution for (dy)/(dx)=(2y)/((x+1)+(x+1)^{5/2)} ?

The solution for (dy)/(dx)=(2y)/((x+1)+(x+1)^{5/2)} is y=e^{integral of 2/(x+1+(x+1)^{5/2)}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=(2y)/((x+1)+(x+1)^{5/2)}

\frac{d y}{d x} = \frac{2 y}{( x + 1 ) + ( x + 1 ) ^{\frac{5}{2}}}

y = e^{\int \frac{2}{x + 1 + ( x + 1 ) ^{\frac{5}{2}}} d x}

Solution steps

\frac{d y}{d x} = \frac{2 y}{( x + 1 ) + ( x + 1 ) ^{\frac{5}{2}}}

Solve separable ODE:

y = e^{\int \frac{2}{x + 1 + ( x + 1 ) ^{\frac{5}{2}}} d x}

y = e^{\int \frac{2}{x + 1 + ( x + 1 ) ^{\frac{5}{2}}} d x}

y^{^{'}} + 4 y = 0, y (0) = cos (2 t), y (0) = sin (2 t)

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

- y = k \frac{d y}{d x}

e^{2 t} y^{^{'}} = y^{2}

y^{^{'}} - \frac{3 x ^{3}}{8 y ^{2}} = 0

What is the solution for (dy)/(dx)=(2y)/((x+1)+(x+1)^{5/2)} ?
The solution for (dy)/(dx)=(2y)/((x+1)+(x+1)^{5/2)} is y=e^{integral of 2/(x+1+(x+1)^{5/2)}}