.Find the solution of the given initial value problem using MVP: 4y(2) – 8y(1) – 5y = x3e2x – 8x y(0) = -10, y'(0) = 1 ind its general solution 1271 5x e2 + 150 24x2e2x 504xe2x 164 5x e 2 + 25 x³e2x 4327 3758 а. у %3 b. y = e 2- 3750 625 24x?e2x 4992e2x + 5 4992e2x 2x 16 504xe2x 8x 64 25 125 625 25 25 125 625 25 5x 5x 50501 456- x3e2x x'e2x 407 e z - 50 641 d. y = C. y = 24x e2x e 2 + 16 e 2- 625 1250 504xe2x 4992e2x 8x 64 24x?e2x 504xe2* 4992e2x 2x 16 + 625 25 25 125 25 125 625 25
.Find the solution of the given initial value problem using MVP: 4y(2) – 8y(1) – 5y = x3e2x – 8x y(0) = -10, y'(0) = 1 ind its general solution 1271 5x e2 + 150 24x2e2x 504xe2x 164 5x e 2 + 25 x³e2x 4327 3758 а. у %3 b. y = e 2- 3750 625 24x?e2x 4992e2x + 5 4992e2x 2x 16 504xe2x 8x 64 25 125 625 25 25 125 625 25 5x 5x 50501 456- x3e2x x'e2x 407 e z - 50 641 d. y = C. y = 24x e2x e 2 + 16 e 2- 625 1250 504xe2x 4992e2x 8x 64 24x?e2x 504xe2* 4992e2x 2x 16 + 625 25 25 125 25 125 625 25
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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Transcribed Image Text:3. Find the solution of the given initial value problem using MVP:
4y(2) – 8y(1) – 5y = x³e2x – 8x
y(0) = -10, y'(0) = 1
Find its general solution
5x
x³e2x
5x
x³e2x
1271
e 2 +
150
4327
3758
а. у %3
b. y =÷
164
e 2 +
25
e 2-
e 2 -
3750
625
24x2e2x
504xe2x
4992e2x
24x?e2x
504xe2x
4992e2x
16
8х
64
+
25
125
625
25
25
125
625
25
5x
5x
x³e2x
407
2
x³e2x
50501
456
e 2 +
625
641
С. у 3
d. y =
e 2-
e 2 -
16
50
1250
24x?e2x
504xe2x
4992e2x
8x
24x?e2x
504xe2x
4992e2x
2x
64
16
+
-
25
125
625
25
25
125
625
25
+
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