What is the solution for c(d^2y)/(dx^2)=y ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

c(d^2y)/(dx^2)=y

c \frac{d ^{2} y}{d x ^{2}} = y

y = c_{1} e^{\frac{x}{c}} + c_{2} e^{- \frac{x}{c}}

Solution steps

c \frac{d ^{2} y}{d x ^{2}} = y

Solve linear ODE:

y = c_{1} e^{\frac{x}{c}} + c_{2} e^{- \frac{x}{c}}

y = c_{1} e^{\frac{x}{c}} + c_{2} e^{- \frac{x}{c}}

2 x^{^{''}} + 72 x = 0

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = 6, y^{^{'}} (0) = 25

y^{^{''}} + 1 y^{^{'}} + y = 0

y^{^{''}} + u^{2} y = 0, y^{^{'}} (\frac{π}{2}) = 0, y (0) = 0

y^{^{''}} + a y = 0, y (- 1) = 0, y (1) = 0

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