What is the solution for (dy)/(dx)+10x^4y=50x^9e^{3x^5} ?

The solution for (dy)/(dx)+10x^4y=50x^9e^{3x^5} is y=2e^{3x^5}x^5-(2e^{3x^5})/5+(c_{1})/(e^{2x^5)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+10x^4y=50x^9e^{3x^5}

\frac{d y}{d x} + 10 x^{4} y = 50 x^{9} e^{3 x^{5}}

y = 2 e^{3 x^{5}} x^{5} - \frac{2 e ^{3 x^{5}}}{5} + \frac{c _{1}}{e ^{2 x^{5}}}

Solution steps

\frac{d y}{d x} + 10 x^{4} y = 50 x^{9} e^{3 x^{5}}

Solve linear ODE:

y = 2 e^{3 x^{5}} x^{5} - \frac{2 e ^{3 x^{5}}}{5} + \frac{c _{1}}{e ^{2 x^{5}}}

y = 2 e^{3 x^{5}} x^{5} - \frac{2 e ^{3 x^{5}}}{5} + \frac{c _{1}}{e ^{2 x^{5}}}

\int 1 + t^{2} d t

\int - 25 sin (- 5 t) d t

\int \frac{x ^{2} - x - 3}{x ^{2} - 3 x} d x

\frac{d}{d x} (arccos (e^{6 x}))

\int (6 t^{2} + 4 t) (t^{3} + t^{2} + 1)^{6} d t

What is the solution for (dy)/(dx)+10x^4y=50x^9e^{3x^5} ?
The solution for (dy)/(dx)+10x^4y=50x^9e^{3x^5} is y=2e^{3x^5}x^5-(2e^{3x^5})/5+(c_{1})/(e^{2x^5)}