What is the solution for (d-3)^3y=e^{3x} ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(d-3)^3y=e^{3x}

(d - 3)^{3} y = e^{3 x}

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + c_{3} x^{2} e^{3 x} + \frac{e ^{3 x} x ^{3}}{6}

Solution steps

(d - 3)^{3} y = e^{3 x}

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + c_{3} x^{2} e^{3 x} + \frac{e ^{3 x} x ^{3}}{6}

y = c_{1} e^{3 x} + c_{2} x e^{3 x} + c_{3} x^{2} e^{3 x} + \frac{e ^{3 x} x ^{3}}{6}

y^{^{''}} - 4 y = x + e^{x}

y^{^{''}} + 6 y^{^{'}} + 8 y = x^{2}

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

y^{^{''}} - 4 y^{^{'}} - 3 y = cos (2 x)

y^{^{''}} + 4 y^{^{'}} = - 32 (x + 2), y (0) = 0, y^{^{'}} (0) = - 10

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