What is the solution for (d^2y)/(dx^2)-10(dy)/(dx)+25y=0 ?

The solution for (d^2y)/(dx^2)-10(dy)/(dx)+25y=0 is y=c_{1}e^{5x}+c_{2}xe^{5x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(d^2y)/(dx^2)-10(dy)/(dx)+25y=0

\frac{d ^{2} y}{d x ^{2}} - 10 \frac{d y}{d x} + 25 y = 0

y = c_{1} e^{5 x} + c_{2} x e^{5 x}

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 10 \frac{d y}{d x} + 25 y = 0

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} x e^{5 x}

y = c_{1} e^{5 x} + c_{2} x e^{5 x}

(\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} + 20 y)^{2} = 0

y^{^{''}} - 9 y^{^{'}} - 22 y = 0

y^{^{''}} - y^{^{'}} + 3 y = 0

y^{^{''}} - 2 y^{^{'}} + y = 0, y (0) = x e^{x}

y^{^{'''}} + 6 y^{^{''}} + 12 y^{^{'}} + 8 y = 0

What is the solution for (d^2y)/(dx^2)-10(dy)/(dx)+25y=0 ?
The solution for (d^2y)/(dx^2)-10(dy)/(dx)+25y=0 is y=c_{1}e^{5x}+c_{2}xe^{5x}