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Popular >

y^'-y=3te^{2t}

Solution

y^{^{'}} - y = 3 t e^{2 t}

Solution

y = 3 e^{2 t} (t - 1) + c_{1} e^{t}

Solution steps

y^{'} (t) - y = 3 t e^{2 t}

Solve linear ODE:

y = 3 e^{2 t} (t - 1) + c_{1} e^{t}

y = 3 e^{2 t} (t - 1) + c_{1} e^{t}

Popular Examples

(\partial)/(\partial x)(sqrt(3x+2y))

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

integral of 1/(sqrt(9x^2+6x-8))

\int \frac{1}{9 x ^{2} + 6 x - 8} d x

sum from n=0 to infinity of n 1/(5^n)

n = 0 \sum \infty n \frac{1}{5 ^{n}}

integral of sec^2(3xta)n^53x

\int sec^{2} (3 x t a) n^{5} 3 x d x

yln(x)(dy}{dx}=(\frac{(y+1))/x)^2

y ln (x) \frac{d y}{d x} = (\frac{( y + 1 )}{x})^{2}

Frequently Asked Questions (FAQ)

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