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Question: stc 11 5 pdebook quasilinear ibji othe basics of the...

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令STC 11. 5 PDEbook quasilinear ibJI OTHE BASICS OF THE THEORY OF PARTIAL DIFFERENTIAL EQUATION Practice Problems Problem 1.1 Classify the following equations as either ODE or PDE (c) y-4p=0. Problem 1.2 Write the equation Problem 1.3 Write the equation in the coordinates s = z + y, t = 2r. Problem 1.4 For each of the following PDEs, state its order and whether it is linear or non-linear. If it is linear, also state whether it is homogeneoas or non- (a)sin 0 (c) uer + (sin y)u”-ee cos y = 0. Problem 1.5 For each of the following PDEs, determine its order and whether it is linear or not. For linear PDEs, state also whether the equation is homogeneous or not. For non-linear PDEs, circle all term(s) that are not linear
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