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Find the general solution for the following differential equation d2y/dx2 - 4dy/dx + 3y = 0. |
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Answer» Given differential equation is \(\frac{d^2y}{dx^2}-4\frac{dy}{dx}+3y=0\) its auxiliary equation is m2 - 4m + 3 = 0 ⇒ (m - 3) (m - 1) = 0 ⇒ m - 1 = 0 or m - 3 = 0 ⇒ m = 1 or m = 3 \(\therefore\) y = C1ex + C2e3x is solution of given differential equation. |
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