What is the solution for (d^2y)/(dx^2)-49(dy)/(dx)=e^{7x} ?

The solution for (d^2y)/(dx^2)-49(dy)/(dx)=e^{7x} is y=c_{1}e^{49x}+c_{2}-1/294 e^{7x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(d^2y)/(dx^2)-49(dy)/(dx)=e^{7x}

\frac{d ^{2} y}{d x ^{2}} - 49 \frac{d y}{d x} = e^{7 x}

y = c_{1} e^{49 x} + c_{2} - \frac{1}{294} e^{7 x}

Solution steps

\frac{d ^{2} y}{d x ^{2}} - 49 \frac{d y}{d x} = e^{7 x}

Solve linear ODE:

y = c_{1} e^{49 x} + c_{2} - \frac{1}{294} e^{7 x}

y = c_{1} e^{49 x} + c_{2} - \frac{1}{294} e^{7 x}

\int_{0}^{1} x cos (2 π x) d x

- 2 x + 5

\int x sec^{2} (6 x) d x

\int (6 x^{5} - \frac{5}{x ^{5}}) d x

\frac{d y}{d x} = \frac{e ^{x}}{9 + e ^{x}}

What is the solution for (d^2y)/(dx^2)-49(dy)/(dx)=e^{7x} ?
The solution for (d^2y)/(dx^2)-49(dy)/(dx)=e^{7x} is y=c_{1}e^{49x}+c_{2}-1/294 e^{7x}