Find the general solution of the differential equation .

Name: Find the general solution of the differential equation .
Brand: Quizplus
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Question

Find the general solution of the differential equation  . ​

Quizplus · Accepted Answer

The differential equation is linear with constant coefficients, so we can assume a solution of the form y = e^(rt). Substituting in the equation gives:
11r^2 + 3r - 10 = 0
Solving for r gives:
r = -1 or r = 10/11
The general solution is then y = c1e^(-t) + c2e^(10/11t) which is equivalent to choice B.

Find the General Solution of the Differential Equation