Mister Exam
Other calculators
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How to use it?
- Differential equation:
- Equation y’’’-6y’’+11y’-6y=0
- Equation d^2y/dx^2-3dy/dx+2y=xe^3x+sin(2x)
- Equation 2y"+18y=6*tan(3t)
- Equation y''-5y'+6y=2e^x+6x-5
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Identical expressions
- y’’’-6y’’+11y’-6y= zero
- y’’’ minus 6y’’ plus 11y’ minus 6y equally 0
- y’’’ minus 6y’’ plus 11y’ minus 6y equally zero
- y’’’-6y’’+11y’-6y=O
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Similar expressions
- y’’’-6y’’+11y’+6y=0
- y’’’+6y’’+11y’-6y=0
- y’’’-6y’’-11y’-6y=0
Differential equation y’’’-6y’’+11y’-6y=0
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The solution
You have entered
[src]
2 3
d d d
- 6*---(y(x)) - 6*y(x) + 11*--(y(x)) + ---(y(x)) = 0
2 dx 3
dx dx
$$- 6 y{\left(x \right)} + 11 \frac{d}{d x} y{\left(x \right)} - 6 \frac{d^{2}}{d x^{2}} y{\left(x \right)} + \frac{d^{3}}{d x^{3}} y{\left(x \right)} = 0$$
-6*y + 11*y' - 6*y'' + y''' = 0
The answer
[src]
/ x 2*x\ x y(x) = \C1 + C2*e + C3*e /*e
$$y{\left(x \right)} = \left(C_{1} + C_{2} e^{x} + C_{3} e^{2 x}\right) e^{x}$$
The classification
nth linear constant coeff homogeneous