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Popular >

y^'+y=e^t

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

Popular Examples

integral of (sqrt(x^2-9))/(x^3)

\int \frac{x ^{2} - 9}{x ^{3}} d x

derivative of g(x)=sqrt(x)derivative of

g (x) = x

derivative of cxe^x

\frac{d}{d x} (c x e^{x})

(\partial)/(\partial x)(2x^4y^3+y)

\frac{\partial}{\partial x} (2 x^{4} y^{3} + y)

integral from 0 to 2 of x(2+x^5)

\int_{0}^{2} x (2 + x^{5}) d x

Frequently Asked Questions (FAQ)

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