3. [MO51] Classify the following PDE as (i) Linear or Nonlinear, (ii) Homogeneous or nonhomogeneous a. (y + 2)2 2x log y au + k ду – In u = 2e-x, k > 0 ax ay? b. ихх + хуиху + y?и? %3D 0 azu C. t ax2 a2u V2 +x- at2

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Q: | Example 10.32. Applying Euler's method to the differential equation dyldx = f(x, y), y(x) = y…

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Q: Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. dy + 2xy = f(x),…

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Q: 5. Find the set of functions which are annihilated by the linear differential op- erator L = D³ (D –…

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Q: 5. Find the set of functions which are annihilated by the linear differential op- erator L = D°(D –…

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Q: Solve the following initial value problem over the interval from t = 0 to 2 where y(0) = 1. Display…

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Q: 3. Apply Euler-Maruyama method as one step to solve the SDE 3 y dy = dt + dB 5-t y(1) = 2

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