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Popular >

y^'-y=6te^{2t}

Solution

y^{^{'}} - y = 6 t e^{2 t}

Solution

y = 6 e^{2 t} (t - 1) + c_{1} e^{t}

Solution steps

y^{'} (t) - y = 6 t e^{2 t}

Solve linear ODE:

y = 6 e^{2 t} (t - 1) + c_{1} e^{t}

y = 6 e^{2 t} (t - 1) + c_{1} e^{t}

Graph

Popular Examples

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x^{2} y^{^{''}} + 2 x y^{^{'}} - 2 = 0

derivative of y^2-x^2

\frac{d}{d x} (y^{2} - x^{2})

Frequently Asked Questions (FAQ)

What is the solution for y^'-y=6te^{2t} ?
The solution for y^'-y=6te^{2t} is y=6e^{2t}(t-1)+c_{1}e^t