What is the solution for (d^2-13d+12)*y=x ?

The solution for (d^2-13d+12)*y=x is y=c_{1}e^{12x}+c_{2}e^x+x/(12)+13/144

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(d^2-13d+12)*y=x

(d^{2} - 13 d + 12) \cdot y = x

y = c_{1} e^{12 x} + c_{2} e^{x} + \frac{x}{12} + \frac{13}{144}

Solution steps

(d^{2} - 13 d + 12) y = x

Solve linear ODE:

y = c_{1} e^{12 x} + c_{2} e^{x} + \frac{x}{12} + \frac{13}{144}

y = c_{1} e^{12 x} + c_{2} e^{x} + \frac{x}{12} + \frac{13}{144}

(d - 1)^{2} \cdot y = e^{x} \cdot sec^{2} (x) tan (x)

y^{^{''}} + y^{^{'}} - 2 y = 20 sin (2 x)

(d^{2} + 3 d + 2) y = sin (e^{x})

(d^{3} + 8) y = x^{4} + x + 1

(d^{2} + d + 1) y = x^{3}

What is the solution for (d^2-13d+12)*y=x ?
The solution for (d^2-13d+12)*y=x is y=c_{1}e^{12x}+c_{2}e^x+x/(12)+13/144