(a) Using fourth order Runge Kutta method, solve the differential equation y' = ty = f(t, y), y(1) = 2 on the interval [1, 1.4] with h = 0.2. (b) Prove that for all values of A and µ, the planes 2x 23 21 3 2²² +2 +2²² - ₁ + ₁ (²-²0-8-2) = 0 A - a b C a b c

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a) Using fourth order Runge Kutta method, solve the differential
equation
y' = ty = f(t, y), y(1) = 2
on the interval [1, 1.4] with h = 0.2.
(b) Prove that for all values of A and µ, the planes
and
2x 1) 23
+
a b c
|
+ ³ −1+1
4x 3y
a
b
X 21) 3
b
intersect on the same line.
a
c
3-5+45+²+3)=0
5+μ
b
-
2
= 0
Transcribed Image Text:(a) Using fourth order Runge Kutta method, solve the differential equation y' = ty = f(t, y), y(1) = 2 on the interval [1, 1.4] with h = 0.2. (b) Prove that for all values of A and µ, the planes and 2x 1) 23 + a b c | + ³ −1+1 4x 3y a b X 21) 3 b intersect on the same line. a c 3-5+45+²+3)=0 5+μ b - 2 = 0
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