Match the differential equations and the description/s that is/ are true to the differential equations below. 1. 2. 3. 4. 5. Differential Equation 3 d5y dx5 (d5y) dx5 +4x². d³y dx³ + 4x d³y dx3 2 (d²y) dy dx² +4x²d²y dx² +sin sin 2x (4y² + 2y). +5 = 0 d²y dx² +sin sin 2x d²x dx +2y. dy² dy +ex = 0 =sin sin y y dx + (2xy +ln ln y )dy = 0 dy dx = x sin sin y Description a. Linear in x b. Linear in y c. Non-linear d. Homogeneous e. Non-Homogeneous

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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Match the differential equations and the description/s that is/ are true to the
differential equations below.
1.
2.
3.
4.
5.
Differential Equation
3
d²y
dx²
dx5
+ 4x
d5y d³y
dx5
+4x².
dx3
d³y d²y
dx3
+4x².
dx²
2
+sin sin 2x
(4y² + 2y).
dy
+5==0
dx
d²y
dx²
+sin sin 2x
d²x
dx
+2y-
dy² dy
+ e* = 0
=sin sin y
y dx + (2xy + ln ln y )dy = 0
dy
dx
= x sin sin y
a.
b.
Description
Linear in x
Linear in y
C. Non-linear
d. Homogeneous
e. Non-Homogeneous
Transcribed Image Text:Match the differential equations and the description/s that is/ are true to the differential equations below. 1. 2. 3. 4. 5. Differential Equation 3 d²y dx² dx5 + 4x d5y d³y dx5 +4x². dx3 d³y d²y dx3 +4x². dx² 2 +sin sin 2x (4y² + 2y). dy +5==0 dx d²y dx² +sin sin 2x d²x dx +2y- dy² dy + e* = 0 =sin sin y y dx + (2xy + ln ln y )dy = 0 dy dx = x sin sin y a. b. Description Linear in x Linear in y C. Non-linear d. Homogeneous e. Non-Homogeneous
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