en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

t^2(dy)/(dt)+y^2=ty

Solution

t^{2} \frac{d y}{d t} + y^{2} = t y

Solution

y = \frac{t}{ln ( t ) + c _{1}}

Solution steps

t^{2} \frac{d y}{d t} + y^{2} = t y

Solve Bernoulli ODE:

y = \frac{t}{ln ( t ) + c _{1}}

y = \frac{t}{ln ( t ) + c _{1}}

Popular Examples

integral of x(1-2x)

\int x (1 - 2 x) d x

derivative of (3x^2+2sqrt(x)/x)

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

derivative of cot(xcsc(x))

\frac{d}{d x} (cot (x) csc (x))

derivative of g(x)=e^{x^2-x}derivative of

g (x) = e^{x^{2} - x}

derivative of-2x+6

\frac{d}{d x} (- 2 x + 6)

Frequently Asked Questions (FAQ)

What is the solution for t^2(dy)/(dt)+y^2=ty ?
The solution for t^2(dy)/(dt)+y^2=ty is y= t/(ln(t)+c_{1)}