What is the solution for (d^2y)/(dx^2)+6(dy)/(dx)+6y=0 ?

The solution for (d^2y)/(dx^2)+6(dy)/(dx)+6y=0 is y=c_{1}e^{(-3+sqrt(3))x}+c_{2}e^{(-3-sqrt(3))x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(d^2y)/(dx^2)+6(dy)/(dx)+6y=0

\frac{d ^{2} y}{d x ^{2}} + 6 \frac{d y}{d x} + 6 y = 0

y = c_{1} e^{(- 3 + 3) x} + c_{2} e^{(- 3 - 3) x}

Solution steps

\frac{d ^{2} y}{d x ^{2}} + 6 \frac{d y}{d x} + 6 y = 0

Solve linear ODE:

y = c_{1} e^{(- 3 + 3) x} + c_{2} e^{(- 3 - 3) x}

y = c_{1} e^{(- 3 + 3) x} + c_{2} e^{(- 3 - 3) x}

y^{^{'''}} - 17 y^{^{''}} + 80 y^{^{'}} - 100 y = 0

2 y^{^{'''}} + 15 y^{^{''}} + 24 y^{^{'}} + 11 y = 0

8 \frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 7 y = 0

324 y^{^{''}} - 396 y^{^{'}} + 121 y = 0

9 y^{^{''}} + 6 y^{^{'}} + y = 0, y (0) = 4, y^{^{'}} (0) = \frac{- 13}{3}

What is the solution for (d^2y)/(dx^2)+6(dy)/(dx)+6y=0 ?
The solution for (d^2y)/(dx^2)+6(dy)/(dx)+6y=0 is y=c_{1}e^{(-3+sqrt(3))x}+c_{2}e^{(-3-sqrt(3))x}