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10 questions from this quiz
ad2ydx2+bdydx+cy=0a\frac{d^2y}{dx^2} + b\frac{dy}{dx} + cy = 0adx2d2y+bdxdy+cy=0
am2+bm+c=0am^2 + bm + c = 0am2+bm+c=0
b2−4ac>0b^2 - 4ac > 0b2−4ac>0
y=Aem1x+Bem2xy = Ae^{m_1x} + Be^{m_2x}y=Aem1x+Bem2x
b2−4ac=0b^2 - 4ac = 0b2−4ac=0
y=(A+Bx)emxy = (A + Bx)e^{mx}y=(A+Bx)emx
b2−4ac<0b^2 - 4ac < 0b2−4ac<0
y=eαx(Acos(βx)+Bsin(βx))y = e^{\alpha x}(A\cos(\beta x) + B\sin(\beta x))y=eαx(Acos(βx)+Bsin(βx))
y=yc+ypy = y_c + y_py=yc+yp
Repeated roots
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