en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

xy^'-4y=x^6e^x

Solution

x y^{^{'}} - 4 y = x^{6} e^{x}

Solution

y = e^{x} x^{5} - e^{x} x^{4} + c_{1} x^{4}

Solution steps

x y^{'} (x) - 4 y = x^{6} e^{x}

Solve linear ODE:

y = e^{x} x^{5} - e^{x} x^{4} + c_{1} x^{4}

y = e^{x} x^{5} - e^{x} x^{4} + c_{1} x^{4}

Popular Examples

limit as x approaches infinity of (x^{99})/(e^x)

x \to \infty lim (\frac{x ^{99}}{e ^{x}})

integral from 1 to a of (1/(sqrt(4x)))

\int_{1}^{a} (\frac{1}{4 x}) d x

derivative of e^{sin(x)}cos(x)derivative of

e^{s i n (x)} cos (x)

limit as x approaches-1 of (x+1)/(sqrt(6x^2+3)+3x)

x \to - 1 lim (\frac{x + 1}{6 x ^{2} + 3 + 3 x})

integral of 2xsec^2(3x)

\int 2 x sec^{2} (3 x) d x

Frequently Asked Questions (FAQ)

What is the solution for xy^'-4y=x^6e^x ?
The solution for xy^'-4y=x^6e^x is y=e^xx^5-e^xx^4+c_{1}x^4