Let (4xy-3x²z²)₁ + (2x²)Ĵ − 2x³ zk = (i) Find a scalar potential for F. (x, y, z) = - note: Answer should have "+C" in it, where C is some constant (ii) Find the work done in moving from (1,1,0) to (2, −1, 1) by the above force field. W= (iii) Solve the differential equation (4xy - 3x²²)dx + 2x²dy - 2x³zdz = 0 ☐ = K, where K is a constant

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let (4xy-3x²z²)₁ + (2x²)Ĵ − 2x³ zk
=
(i) Find a scalar potential for F.
(x, y, z) =
-
note: Answer should have "+C" in it, where C is some constant
(ii) Find the work done in moving from (1,1,0) to (2, −1, 1) by the above force field.
W=
(iii) Solve the differential equation (4xy - 3x²²)dx + 2x²dy - 2x³zdz = 0
☐ = K, where K is a constant
Transcribed Image Text:Let (4xy-3x²z²)₁ + (2x²)Ĵ − 2x³ zk = (i) Find a scalar potential for F. (x, y, z) = - note: Answer should have "+C" in it, where C is some constant (ii) Find the work done in moving from (1,1,0) to (2, −1, 1) by the above force field. W= (iii) Solve the differential equation (4xy - 3x²²)dx + 2x²dy - 2x³zdz = 0 ☐ = K, where K is a constant
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