en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)y=x(2x+1)^{1/3}

Solution

\frac{d y}{d x} y = x (2 x + 1)^{\frac{1}{3}}

Solution

y = \frac{c _{1} + 12 ( 2 x + 1 ) ^{\frac{7}{3}} - 21 ( 2 x + 1 ) ^{\frac{4}{3}}}{2 14}, y = - \frac{c _{1} + 12 ( 2 x + 1 ) ^{\frac{7}{3}} - 21 ( 2 x + 1 ) ^{\frac{4}{3}}}{2 14}

Solution steps

\frac{d y}{d x} y = x (2 x + 1)^{\frac{1}{3}}

Solve separable ODE:

y = \frac{c _{1} + 12 ( 2 x + 1 ) ^{\frac{7}{3}} - 21 ( 2 x + 1 ) ^{\frac{4}{3}}}{2 14}, y = - \frac{c _{1} + 12 ( 2 x + 1 ) ^{\frac{7}{3}} - 21 ( 2 x + 1 ) ^{\frac{4}{3}}}{2 14}

y = \frac{c _{1} + 12 ( 2 x + 1 ) ^{\frac{7}{3}} - 21 ( 2 x + 1 ) ^{\frac{4}{3}}}{2 14}, y = - \frac{c _{1} + 12 ( 2 x + 1 ) ^{\frac{7}{3}} - 21 ( 2 x + 1 ) ^{\frac{4}{3}}}{2 14}

Popular Examples

(dy}{dx}=\frac{ln(2))/7 y-80000

\frac{d y}{d x} = \frac{ln ( 2 )}{7} y - 80000

(dy)/(dx)=3*(y^5)/(x^4)

\frac{d y}{d x} = 3 \cdot \frac{y ^{5}}{x ^{4}}

y^{^{'}} = - \frac{37 t}{y}

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

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

y^{^{'}} = 7 e^{3 x - 5 y}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)y=x(2x+1)^{1/3} ?
The solution for (dy)/(dx)y=x(2x+1)^{1/3} is