What is the solution for (d^2y)/(dx^2)-36(dy)/(dx)=0 ?

The solution for (d^2y)/(dx^2)-36(dy)/(dx)=0 is y=c_{1}e^{36x}+c_{2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(d^2y)/(dx^2)-36(dy)/(dx)=0

\frac{d ^{2} y}{d x ^{2}} - 36 \frac{d y}{d x} = 0

y = c_{1} e^{36 x} + c_{2}

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 36 \frac{d y}{d x} = 0

Solve linear ODE:

y = c_{1} e^{36 x} + c_{2}

y = c_{1} e^{36 x} + c_{2}

y^{^{''}} + 9 y = 0

y^{^{''}} + 4 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

y^{^{''}} - y = 0, y (- 1) = 5, y^{^{'}} (- 1) = - 5

y^{^{''}} - y^{^{'}} = 0, y^{^{'}} (0) = 0

9 y^{^{''}} - 12 y + 4 y = 0

What is the solution for (d^2y)/(dx^2)-36(dy)/(dx)=0 ?
The solution for (d^2y)/(dx^2)-36(dy)/(dx)=0 is y=c_{1}e^{36x}+c_{2}