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GATE EC 2016 Set 2 — Question 36

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NAT+2 / -0MediumFirst-Order Linear EquationsDifferential EquationsEngineering MathematicsInitial & Boundary Value Problems

Engineering Mathematics → Differential Equations → First-Order Linear Equations

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Question

The ordinary differential equationdxdt=−3x+2, with x(0)=1\frac{dx}{dt} = -3 x + 2, \text{ with } x(0) = 1is to be solved using the forward Euler method. The largest time step that can be used to solve the equation without making the numerical solution unstable is ________
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