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GATE EC 2015 Set 3 — Question 38

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NAT+2 / -0MediumHigher-Order Linear ODEsDifferential EquationsEngineering MathematicsInitial & Boundary Value Problems

Engineering Mathematics → Differential Equations → Higher-Order Linear ODEs

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Question

Consider the differential equation d2x(t)dt2+3dx(t)dt+2x(t)=0.\frac{d^2x(t)}{dt^2} + 3\frac{dx(t)}{dt} + 2x(t) = 0. Given x(0)=20x(0) = 20 and x(1)=10/ex(1) = 10/e, where e=2.718e = 2.718, the value of x(2)x(2) is ______.
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