What is the solution for (d^2y)/(dx^2)-4(dy)/(dx)+2y=0 ?

The solution for (d^2y)/(dx^2)-4(dy)/(dx)+2y=0 is y=c_{1}e^{(2+sqrt(2))x}+c_{2}e^{(2-sqrt(2))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)-4(dy)/(dx)+2y=0

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 2 y = 0

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 2 y = 0

Solve linear ODE:

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

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

x \to - \frac{7 π}{2} - lim (sec (x))

\frac{d y}{d x} = 9 - \frac{y}{6 x + 250}

f (x) = x^{4} + 2 x^{2} - x, at x = 1

x^{2} y^{^{'}} + x y = 5

\frac{d}{d x} (9 x^{4} + 6 x^{3} + 1)

What is the solution for (d^2y)/(dx^2)-4(dy)/(dx)+2y=0 ?
The solution for (d^2y)/(dx^2)-4(dy)/(dx)+2y=0 is y=c_{1}e^{(2+sqrt(2))x}+c_{2}e^{(2-sqrt(2))x}