What is the solution for (d^2-2d)y=e^xsin(x) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(d^2-2d)y=e^xsin(x)

(d^{2} - 2 d) y = e^{x} sin (x)

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

Solution steps

(d^{2} - 2 d) y = e^{x} sin (x)

Solve linear ODE:

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

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

x^{^{''}} + 6 x^{^{'}} - 6 x = 7 t^{2}

\frac{1}{2} y^{^{''}} + 2 y = 3 tan (2 t) - \frac{1}{3} e^{4 t}

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

y^{^{''}} - 3 y^{^{'}} + 3 y^{^{'}} - y = x - 8 e^{x}

y^{^{''}} + 100 y^{^{'}} + \frac{1}{0.0004} y = 30, y (0) = 0

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