Match the differential equations and the description/s that is/ are true to the differential equations below. 1.2.3.4.5.Differential Equationd5ydx5d³ydx³y dx + (2xy + ln y )dy = 0d³y+4x². + cos2xdx3d²y+4x². + sin 2xdx²'d³ydx53+ 4xd²ydx²d²xdy²(4y2 + 2y).2+ 2yd²ydx²dydxdxdy+ ey = 0= 2x cos x+5.dydx= 0= x sin yDescriptiona. Linear in xb. Linear in yc. Non-lineard. Homogeneouse. Non-Homogeneous

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1. 2. 3. 4. 5. Differential Equation d5y dx5 y dx + (2xy + ln y )dy = 0 d³y +4x². + cos2x dx3 d³y d²y dx3 +4x². + sin 2x dx² 'd³y dx5 3 + 4x d²y dx² (4y² + 2y). 2 d²y dx² dy dx + ey = 0 = 2x cos x dy dx +5. = 0 d²x dx +2y- = x sin y dy² dy Description a. Linear in x b. Linear in y c. Non-linear d. Homogeneous e. Non-Homogeneous

1. 2. 3. 4. 5. Differential Equation d5y dx5 y dx + (2xy + ln y )dy = 0 d³y +4x². + cos2x dx3 d³y d²y dx3 +4x². + sin 2x dx² 'd³y dx5 3 + 4x d²y dx² (4y² + 2y). 2 d²y dx² dy dx + ey = 0 = 2x cos x dy dx +5. = 0 d²x dx +2y- = x sin y dy² dy Description a. Linear in x b. Linear in y c. Non-linear d. Homogeneous e. Non-Homogeneous

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.CR: Chapter 11 Review

Problem 15CR

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Question

Match the differential equations and the description/s that is/ are true to the differential equations below.

1.
2.
3.
4.
5.
Differential Equation
d5y
dx5
d³y
dx³
y dx + (2xy + ln y )dy = 0
d³y
+4x². + cos2x
dx3
d²y
+4x². + sin 2x
dx²
'd³y
dx5
3
+ 4x
d²y
dx²
d²x
dy²
(4y2 + 2y).
2
+ 2y
d²y
dx²
dy
dx
dx
dy
+ ey = 0
= 2x cos x
+5.
dy
dx
= 0
= x sin y
Description
a. Linear in x
b. Linear in y
c. Non-linear
d. Homogeneous
e. Non-Homogeneous

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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