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Popular >

y^'+2y=e^t

Solution

y^{^{'}} + 2 y = e^{t}

Solution

y = \frac{e ^{t}}{3} + \frac{c _{1}}{e ^{2 t}}

Solution steps

y^{'} (t) + 2 y = e^{t}

Solve linear ODE:

y = \frac{e ^{t}}{3} + \frac{c _{1}}{e ^{2 t}}

y = \frac{e ^{t}}{3} + \frac{c _{1}}{e ^{2 t}}

Popular Examples

derivative of f(x)=-6x^2-3x-5x^3 derivative of

f (x) = - 6 x^{2} - 3 x - 5 x^{3}

integral of (3-x)7^{(3-x)^2}

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

derivative of f(x)=4e^x+4/(\sqrt[3]{x)}derivative of

y^'=(7x^4e^{y/x}+x^2y^2)/(x^3y)

y^{^{'}} = \frac{7 x ^{4} e ^{\frac{y}{x}} + x ^{2} y ^{2}}{x ^{3} y}

derivative of 3/2 tan(x)

\frac{d}{d x} (\frac{3}{2} tan (x))

Frequently Asked Questions (FAQ)

What is the solution for y^'+2y=e^t ?
The solution for y^'+2y=e^t is y=(e^t)/3+(c_{1})/(e^{2t)}