What is the solution for y^{''}+16y=7sin(x) ?

The solution for y^{''}+16y=7sin(x) is y=c_{1}cos(4x)+c_{2}sin(4x)+7/15 sin(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}+16y=7sin(x)

y^{^{''}} + 16 y = 7 sin (x)

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{7}{15} sin (x)

Solution steps

y^{''} (x) + 16 y = 7 sin (x)

Solve linear ODE:

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{7}{15} sin (x)

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{7}{15} sin (x)

y^{^{'''}} - y^{^{''}} - 9 y^{^{'}} + 9 y = 7 - e^{x} + e^{3 x}

3 y^{^{''}} - y = e^{x} - 5

y^{^{''}} + 4 y^{^{'}} + 4 y = 375 \cdot t

y^{^{''}} - 2 y^{^{'}} - 15 y = 4 e^{t}

y^{^{'''}} + 3 y^{^{''}} + 2 y^{^{'}} = u

What is the solution for y^{''}+16y=7sin(x) ?
The solution for y^{''}+16y=7sin(x) is y=c_{1}cos(4x)+c_{2}sin(4x)+7/15 sin(x)