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APM3701 Assignment 2 Memo | Due 17 August 2026. All questions fully answered. Solve the following (initial)-boundary value problem, (Check your answer by substituting, and
explain all the steps clearly)
a.
∂2u
∂x∂y∂t
(x, y, t) = 2xt; x, y, z ∈ R
u (1, y, t) =
yt2
2
+
t
2
+
y
4
+ 1,
∂u
∂x
(x, y, 0) =
xy
2
and ∂2u
∂x∂t
(x, 0, t) = 2xt + x − t.
(10 Marks)
APM3701 Assignment 2 Memo | Due 17 August 2026. All questions fully answered. Solve the following (initial)-boundary value problem, (Check your answer by substituting, and
explain all the steps clearly)
a.
∂2u
∂x∂y∂t
(x, y, t) = 2xt; x, y, z ∈ R
u (1, y, t) =
yt2
2
+
t
2
+
y
4
+ 1,
∂u
∂x
(x, y, 0) =
xy
2
and ∂2u
∂x∂t
(x, 0, t) = 2xt + x − t.
(10 Marks)
APM3701 Assignment 2 Memo | Due 17 August 2026. All questions fully answered. Solve the following (initial)-boundary value problem, (Check your answer by substituting, and
explain all the steps clearly)
a.
∂2u
∂x∂y∂t
(x, y, t) = 2xt; x, y, z ∈ R
u (1, y, t) =
yt2
2
+
t
2
+
y
4
+ 1,
∂u
∂x
(x, y, 0) =
xy
2
and ∂2u
∂x∂t
(x, 0, t) = 2xt + x − t.
(10 Marks)
This saved me so much time. Thank you!
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rhianna55 –
This saved me so much time. Thank you!