What is the solution for 3xy^{''}-20xy^'+3xy=0 ?

The solution for 3xy^{''}-20xy^'+3xy=0 is y=c_{1}e^{((10+sqrt(91))x)/3}+c_{2}e^{((10-sqrt(91))x)/3}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3xy^{''}-20xy^'+3xy=0

3 x y^{^{''}} - 20 x y^{^{'}} + 3 x y = 0

y = c_{1} e^{\frac{( 10 + 91 ) x}{3}} + c_{2} e^{\frac{( 10 - 91 ) x}{3}}

Solution steps

3 x y^{''} (x) - 20 x y^{'} (x) + 3 x y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( 10 + 91 ) x}{3}} + c_{2} e^{\frac{( 10 - 91 ) x}{3}}

y = c_{1} e^{\frac{( 10 + 91 ) x}{3}} + c_{2} e^{\frac{( 10 - 91 ) x}{3}}

7 y^{^{''}} + 3 y^{^{'}} + 7 y = 0, y (0) = - 4, y^{^{'}} (0) = 0

y^{^{''}} - 6 y - 16 y = 0

y^{^{''}} - 4 y^{^{'}} + 5 y = 0, y (0) = e^{x} cos (2 x)

y^{^{''}} - 8 y^{^{'}} = 20 y, y (0) = 0, y^{^{'}} (0) = 0

\frac{1}{8} x^{^{''}} + \frac{5}{4} x^{^{'}} + \frac{1}{3} x = 0

What is the solution for 3xy^{''}-20xy^'+3xy=0 ?
The solution for 3xy^{''}-20xy^'+3xy=0 is y=c_{1}e^{((10+sqrt(91))x)/3}+c_{2}e^{((10-sqrt(91))x)/3}