What is the solution for (dy)/(dx)=(1+y^2)/(3+7x) ?

The solution for (dy)/(dx)=(1+y^2)/(3+7x) is y=tan(1/7 ln(3+7x)+c_{1})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=(1+y^2)/(3+7x)

\frac{d y}{d x} = \frac{1 + y ^{2}}{3 + 7 x}

y = tan (\frac{1}{7} ln (3 + 7 x) + c_{1})

Solution steps

\frac{d y}{d x} = \frac{1 + y ^{2}}{3 + 7 x}

Solve separable ODE:

y = tan (\frac{1}{7} ln (3 + 7 x) + c_{1})

y = tan (\frac{1}{7} ln (3 + 7 x) + c_{1})

\frac{d}{d x} (125 e^{5 x})

- \frac{7}{x}

x^{2} - 7 x

y = x, (1, 1)

\frac{d}{d x} (\frac{sin ( x )}{x + 1})

What is the solution for (dy)/(dx)=(1+y^2)/(3+7x) ?
The solution for (dy)/(dx)=(1+y^2)/(3+7x) is y=tan(1/7 ln(3+7x)+c_{1})