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Popular >

x^'+x=e^t

Solution

x^{^{'}} + x = e^{t}

Solution

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

Solution steps

x^{'} (t) + x = e^{t}

Solve linear ODE:

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

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

Popular Examples

integral from 0 to 15 of xsqrt(15-x)

\int_{0}^{15} x 15 - x d x

integral of 10sqrt(x)

\int 10 x d x

integral of-8/x

\int - \frac{8}{x} d x

integral of (2x^2+13x+18)/(x^3+6x^2+9x)

\int \frac{2 x ^{2} + 13 x + 18}{x ^{3} + 6 x ^{2} + 9 x} d x

y^{''}-5y^'+6y=e^{2x}

y^{^{''}} - 5 y^{^{'}} + 6 y = e^{2 x}

Frequently Asked Questions (FAQ)

What is the solution for x^'+x=e^t ?
The solution for x^'+x=e^t is x=(e^t)/2+(c_{1})/(e^t)