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Popular >

y^'-2y=1-3x

Solution

y^{^{'}} - 2 y = 1 - 3 x

Solution

y = \frac{3 x}{2} + \frac{1}{4} + c_{1} e^{2 x}

Solution steps

y^{'} (x) - 2 y = 1 - 3 x

Solve linear ODE:

y = \frac{3 x}{2} + \frac{1}{4} + c_{1} e^{2 x}

y = \frac{3 x}{2} + \frac{1}{4} + c_{1} e^{2 x}

Popular Examples

(\partial)/(\partial v)(u/v)

\frac{\partial}{\partial v} (\frac{u}{v})

y*ln(x)-x^2y=xy^'

y \cdot ln (x) - x^{2} y = x y^{^{'}}

(\partial)/(\partial x)(ln(x+y^4)-z)

\frac{\partial}{\partial x} (ln (x + y^{4}) - z)

integral of (3x^2-2x+3)

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

integral of 1/4-(100)/(x^2)

\int \frac{1}{4} - \frac{100}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'-2y=1-3x ?
The solution for y^'-2y=1-3x is y=(3x)/2+1/4+c_{1}e^{2x}