Q1. Determine whether the given equation is exact. If it is exact then solve it. i) (2r³ – ry² – 2y + 3)dr – (x²y + 2r)dy = 0 ii) 2ty - 21 – (2 – In(t² +1)) dy = 0; y(5) = 0 12 +1 dt
Q1. Determine whether the given equation is exact. If it is exact then solve it. i) (2r³ – ry² – 2y + 3)dr – (x²y + 2r)dy = 0 ii) 2ty - 21 – (2 – In(t² +1)) dy = 0; y(5) = 0 12 +1 dt
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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