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Popular >

(dy)/(dx)+y=-e^x

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

limit as x approaches pi/2 of ln(cos(x))

x \to \frac{π}{2} lim (ln (cos (x)))

integral of t^2*cos(t)

\int t^{2} \cdot cos (t) d t

derivative of x^3(x-7^2)

\frac{d}{d x} (x^{3} (x - 7)^{2})

area y=x^2-4x+3,y=3+4x-x^2 area

y = x^{2} - 4 x + 3, y = 3 + 4 x - x^{2}

limit as x approaches-infinity of e^x

x \to - \infty lim (e^{x})

Frequently Asked Questions (FAQ)

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