en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

y = \frac{1}{4} e^{4 x} - 3 x^{2} + c_{1}

Solution steps

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

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int e^{4 x} - 6 x d x

\int e^{4 x} - 6 x d x = \frac{1}{4} e^{4 x} - 3 x^{2} + c_{1}

y = \frac{1}{4} e^{4 x} - 3 x^{2} + c_{1}

Popular Examples

limit as x approaches 0 of (-6)/(e^3-x)

x \to 0 lim (\frac{- 6}{e ^{3} - x})

inverse oflaplace (8s^2+12s+7)/(s^2+s)inverse laplace

\frac{8 s ^{2} + 12 s + 7}{s ^{2} + s}

derivative of ln((2x+5^3))

\frac{d}{d x} (ln ((2 x + 5)^{3}))

limit as x approaches infinity of |x-5|

x \to \infty lim (∣ x - 5 ∣)

(\partial)/(\partial x)(1/(x+t+1))

\frac{\partial}{\partial x} (\frac{1}{x + t + 1})

Frequently Asked Questions (FAQ)

What is the solution for y^'=e^{4x}-6x ?
The solution for y^'=e^{4x}-6x is y= 1/4 e^{4x}-3x^2+c_{1}