11). Find the solution of ôu/ôx = 36ðu/ôt + 10u if ôu/ôx (t=0) =3e2* using the method of separationof variables.a) -3/2e *e312). Solve the partial differential equation x³ðw/ôx + y°ôw/ôy = 0 using method of separation ofb) 3e*e*3c) 3/2e²*ev3d) 3e*ev3variables if u (0,y)=10e.a) 10e*2«2e$!yb) 10e¯s2y²e5xc) 10es2y²e¯$x

Note:- As per our guidelines, We’ll answer the first question since the exact one wasn’t specified.…

11). Find the solution of ôu/ôx = 36đu/ôt + 10u if ôu/ôx (t=0) =3e* using the method of separation of variables. a) -3/2e 2*ev3 b) 3e*e"3 c) 3/2e*e 3 d) 3e *ev3

11). Find the solution of ôu/ôx = 36đu/ôt + 10u if ôu/ôx (t=0) =3e* using the method of separation of variables. a) -3/2e 2ev3 b) 3ee"3 c) 3/2ee 3 d) 3e ev3

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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Question

11). Find the solution of ôu/ôx = 36ðu/ôt + 10u if ôu/ôx (t=0) =3e2* using the method of separation
of variables.
a) -3/2e *e3
12). Solve the partial differential equation x³ðw/ôx + y°ôw/ôy = 0 using method of separation of
b) 3e*e*3
c) 3/2e²*ev3
d) 3e*ev3
variables if u (0,y)=10e.
a) 10e*2«2e$!y
b) 10e¯s2y²e5x
c) 10es2y²e¯$x

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