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10 cards from this deck
Most general form of solution with arbitrary constants
First derivative dydx\frac{dy}{dx}dxdy
Up to second derivative d2ydx2\frac{d^2y}{dx^2}dx2d2y
Infinite set of solutions
Variables can be separated on either side
Separate variables, integrate both sides
CCC
Characteristic equation
y=C1em1x+C2em2xy = C_1 e^{m_1 x} + C_2 e^{m_2 x}y=C1em1x+C2em2x
dydx=f(x,y)\frac{dy}{dx} = f(x, y)dxdy=f(x,y)
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