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Question 3 Consider the equation ² u ди J²u +e. 2y- - 2y. = =ye ²x, x>0, y ≤R. əx² əxəy Əx = 1. Given the characteristic
Posted: Wed May 04, 2022 10:51 am
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Question 3 Consider the equation ² u ди J²u +e. 2y- - 2y. = =ye ²x, x>0, y ≤R. əx² əxəy Əx = 1. Given the characteristics, y = C₁ and y² - e™ : C2, reduce the partial differential equation to canonical form and find the general solution. 2. Find the solution which satisfies u(0,y) = y²(1 — y²) and u₂(0,y) = 1⁄2y² −1, y ≤R.