Verification For each differential equation, verify by differen. tiation and substitution that the given function is a solution. 1. y = y² +4 (1|4): y = 2 tan 2r
Verification For each differential equation, verify by differen. tiation and substitution that the given function is a solution. 1. y = y² +4 (1|4): y = 2 tan 2r
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Question
Transcribed Image Text:For each differential equation, verify by
differentiation and substitution that the
given function y is a solution. a. y' = (y
^2) + 4 (|t|0) y = (t^2)*In(t)Verification For
each differential equation, verify by
differentiation and substitution that the
given function is a solution.
2
y = y² +4₁ (ltl) < (7);
4
1
, y = 2tan 2t y = -y+t(t) > (0):
² y +
2
,y = 3t+t y =
2y + 1(t) > (0);
t
t. -2(s² - t²)
2
‚y = t_ Inty - 4ty = 1:,y = Se
0
ds
Transcribed Image Text:Verification For each differential equation, verify by differen.
tiation and substitution that the given function is a solution.
1. yy² +4 (r</4):
y = 2 tan 2
2. y = = y +1 (t> (
(1 0):
y = 31 + 1²
2²/1 + 1 (1 > 0);
3. y
4. y 4ry = 1:
y = r² Inr
y = $₁²
e-211²-1²)
ds
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