What is the solution for (d^2y)/(dx^2)-3(dy)/(dx)+2y=4x+6 ?

The solution for (d^2y)/(dx^2)-3(dy)/(dx)+2y=4x+6 is y=c_{1}e^{2x}+c_{2}e^x+2x+6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(d^2y)/(dx^2)-3(dy)/(dx)+2y=4x+6

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} + 2 y = 4 x + 6

y = c_{1} e^{2 x} + c_{2} e^{x} + 2 x + 6

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} + 2 y = 4 x + 6

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{x} + 2 x + 6

y = c_{1} e^{2 x} + c_{2} e^{x} + 2 x + 6

y^{^{''}} + y^{^{'}} = 3 x^{2}, y (0) = 0, y^{^{'}} (0) = 1

y^{^{''}} - y = sin^{2} (x)

(D^{2} + 4) y = 8 cos^{2} (x)

y^{^{''}} - 2 y^{^{'}} = x + sin (x)

y^{^{''}} + 4 y^{^{'}} + 4 y = e^{- x} cos (x)

What is the solution for (d^2y)/(dx^2)-3(dy)/(dx)+2y=4x+6 ?
The solution for (d^2y)/(dx^2)-3(dy)/(dx)+2y=4x+6 is y=c_{1}e^{2x}+c_{2}e^x+2x+6