1.

Find the general solution for the following differential equation d2y/dx2 - 4dy/dx + 3y = 0.

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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