6 1. Express the equation in cartesian coordinate r = 3 cos 0 + 2 sin 0 2. Express the equation in cartesian coordinate r = sec @ tan 0 3. Express the equation in polar coordinate x²(x² + y²) = y² dy 4. Solve the differential equation dx - sec x = 0 5. Solve the differential equation 6. Solve the differential equation 2xy dx + x2 dy = 0 (1+r) dy 7. Solve the differential equation dx y 4y" - 25y = 0 8. Solve the differential equation 9y"-30y+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 17E: Find the general solution for each differential equation. Verify that each solution satisfies the...
Question
100%
6
1. Express the equation in cartesian coordinate
r =
3 cos 0 + 2 sin 0
2. Express the equation in cartesian coordinate
r = sec @ tan 0
3. Express the equation in polar coordinate
x²(x² + y²) = y²
dy
4. Solve the differential equation
dx
- sec x = 0
5. Solve the differential equation
6. Solve the differential equation
2xy dx + x2 dy = 0
(1+r) dy
7. Solve the differential equation
dx
y
4y" - 25y = 0
8. Solve the differential equation
9y"-30y+25y = 0
Transcribed Image Text:6 1. Express the equation in cartesian coordinate r = 3 cos 0 + 2 sin 0 2. Express the equation in cartesian coordinate r = sec @ tan 0 3. Express the equation in polar coordinate x²(x² + y²) = y² dy 4. Solve the differential equation dx - sec x = 0 5. Solve the differential equation 6. Solve the differential equation 2xy dx + x2 dy = 0 (1+r) dy 7. Solve the differential equation dx y 4y" - 25y = 0 8. Solve the differential equation 9y"-30y+25y = 0
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