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15 Cards in this Set
- Front
- Back
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Homogeneous: case 1 for y(c) |
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Homogeneous: case 2 for y(c) |
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Homogeneous: case 3 for y(c) |
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General solution to homogeneous equation y=? |
complementory solution y=yc |
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What defines a homogeneous equation |
equaling zero ay''+by'+cy=0 |
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Getting the form of solutions for higher order (3) DE. |
y=e^(mx) y'=... y''=... y'''=... |
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Cauchy Euler: auxiliary equation form (2nd order) |
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form of general solution to cauchy euler eqn (2nd order) |
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getting solutions from cauchy euler |
y=x^m y'=... y''=... y'''=... |
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general solution for nonhomogeneous |
y = yp + yc |
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form of yp of undetermined coefficients for 2x^2+3x+6 (quadratic) |
Ax^2+Bx+C |
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form of yp of undetermined coefficients for sin(3x) |
Asin(3x) + Bcos(3x) |
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form of yp of undetermined coefficients for 8e^x |
Ae^x |
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equation for W for variation of parameters |
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general solution for variation of parameters |
y = yc + yp yp = u1y1 +u2y2 - get y1 and y2 from yc |
