en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

e^x(dy)/(dx)=2

Solution

e^{x} \frac{d y}{d x} = 2

Solution

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

Solution steps

e^{x} \frac{d y}{d x} = 2

Substitute

\frac{d y}{d x}

with

y^{'} (x)

e^{x} y^{^{'}} (x) = 2

Isolate

y^{'} (x) : y^{'} (x) = \frac{2}{e ^{x}}

If

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

then

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

y = \int \frac{2}{e ^{x}} d x

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

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

Popular Examples

y^{''}+y^'+4.25y=221cos(4.5t)

y^{^{''}} + y^{^{'}} + 4.25 y = 221 cos (4.5 t)

integral from 0 to 4 of 1/(sqrt(4-x))

\int_{0}^{4} \frac{1}{4 - x} d x

derivative of (2x^3+8)/x derivative of

\frac{2 x ^{3} + 8}{x}

taylor 2/(1-x^2),0 taylor

\frac{2}{1 - x ^{2}}, 0

integral of cos(x)cos(x)

\int cos (x) cos (x) d x

Frequently Asked Questions (FAQ)

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