Given a function \( G(r) \) with cylindrical symmetry, show the following:17. \[\int_{\text{cylindrical surface}}^{\text{radius } R, \text{ length } "L"} G(r) \, da = 2 \cdot \pi \cdot L \cdot r \cdot G(r) + 4 \cdot \pi \int_0^R G(r) \cdot r \cdot dr\]18.\[\int_{\text{cylindrical surface}}^{\text{radius } R, \text{ length } "L"} G(r) \, dV = 2 \cdot \pi \cdot L \int_0^R G(r) \cdot r \cdot dr\]

Use the formula, ∫Radius_R_length_'L'Cylindrical_surface Gr da=∮ Gr r dϕ dz+2r dr dϕ And…

Given a function G(r) with cylindrical symmetry show the following 17. (eylindrical surface G(r)da = 2 L r G(r)+ 4 G(r) r dr radius R length "L" %3D cylindrical surface radius R length_"L" G(r)dV = 2 1 L G(r) r dr 18.

Given a function G(r) with cylindrical symmetry show the following 17. (eylindrical surface G(r)da = 2 L r G(r)+ 4 G(r) r dr radius R length "L" %3D cylindrical surface radius R length_"L" G(r)dV = 2 1 L G(r) r dr 18.

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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