Answer the following two questions. 1. Solve the following differential eauations with the given initial or boundary con- ditions. (a) For boundary conaitions y = 1 at r = 1: + 3ry = 4r. dr (b) For initial conditions z = 0 at t = 0: dr + br = Atet, dt

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14:38
Page 4 of 5
Section D
Answer the following two questions.
1. Solve the following differential equations with the given initial or boundary con-
ditions.
(a) For boundary conaiuons y = 1 at x = 1:
ady
+ 3ry = 4x.
dr
(b) For initial conditions z = 0 at t = 0:
dr
+ br = Ate™t.
dt
2. A circuit consists of a resistance R, capacitance C' and electromotive force Ve-.
There is an initial charge Q on the capacitor at t = 0. Let q denote the charge
on the capacitor at time t. Derive the differential equation shown here, solve it
and then explain the behaviour of q as t becomes large.
dq
V
dt
RC
R
Send a Chat
Transcribed Image Text:14:38 Page 4 of 5 Section D Answer the following two questions. 1. Solve the following differential equations with the given initial or boundary con- ditions. (a) For boundary conaiuons y = 1 at x = 1: ady + 3ry = 4x. dr (b) For initial conditions z = 0 at t = 0: dr + br = Ate™t. dt 2. A circuit consists of a resistance R, capacitance C' and electromotive force Ve-. There is an initial charge Q on the capacitor at t = 0. Let q denote the charge on the capacitor at time t. Derive the differential equation shown here, solve it and then explain the behaviour of q as t becomes large. dq V dt RC R Send a Chat
Section D
Answer the following two questions.
1. Solve the following differential eauations with the given initial or boundary con-
ditions.
(a) For boundary conaitions y = 1 at z = 1:
2dy
+ 3ry = 4r.
dr
(b) For initial conditions z = 0 at t = 0:
dr
+ br = Ate
dt
2. A circuit consists of a resistance R, capacitance C and electromotive force Ve-.
There is an initial charge Q on the capacitor at t = 0. Let q denote the charge
on the capacitor at time t. Derive the differential equation shown here, solve it
and then explain the behaviour of q as t becomes large.
dq
V
%3D
dt
RC
R
Transcribed Image Text:Section D Answer the following two questions. 1. Solve the following differential eauations with the given initial or boundary con- ditions. (a) For boundary conaitions y = 1 at z = 1: 2dy + 3ry = 4r. dr (b) For initial conditions z = 0 at t = 0: dr + br = Ate dt 2. A circuit consists of a resistance R, capacitance C and electromotive force Ve-. There is an initial charge Q on the capacitor at t = 0. Let q denote the charge on the capacitor at time t. Derive the differential equation shown here, solve it and then explain the behaviour of q as t becomes large. dq V %3D dt RC R
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