y = A sin sin 5x + Bcos 5x; + + 25y = 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 9E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Solution of a Differential Equation:
A. Verify if the given equation is a solution of the given differential equation: (Show your complete
solution:
(a) y = A sin sin 5x + Bcos 5x;
(b) y = (x + 1)e
(c) In In y = C₁e* + Ce**
-3
(d) y ³ = x²(3e* + C)
G
;
4
+25y = 0
y+y-e* = 0
yy" - (y)² = y² Iny
44x
xy + y + x^y^e² = 0
1/2
ww
Transcribed Image Text:Solution of a Differential Equation: A. Verify if the given equation is a solution of the given differential equation: (Show your complete solution: (a) y = A sin sin 5x + Bcos 5x; (b) y = (x + 1)e (c) In In y = C₁e* + Ce** -3 (d) y ³ = x²(3e* + C) G ; 4 +25y = 0 y+y-e* = 0 yy" - (y)² = y² Iny 44x xy + y + x^y^e² = 0 1/2 ww
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,