1. Use any appropriate method in finding the indicated solution of the following differential equations. 1. (1+lnx)dx + (1 + Iny)dy = 0 2. xcos²y dx + tanydy = 0 3. [xcos² (y] dx + xdy = 0; when x = 1, y = 4. x(x² + y²)²(ydx - xdy) + yбdy = 0 5. (xy²+y-x)dx + x(xy + 1)dy = 0 - 6. (1xy) dx + [y² + x²(1 − xy)-2]dy = 0; when x = 2, y = 1 7. y'tanx sin2y = sin²x + cos²y 8. (x+2y1)dx + (2x+4y-3)dy = 0 9. (x 1)y' y + 2(x − 1)³ - 10. xdy-ydx-xy³dx - xy³lnxdx = 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.CR: Chapter 11 Review
Problem 7CR
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1.
Use any appropriate method in finding the indicated solution of the following differential equations.
1. (1+lnx)dx + (1 + Iny)dy = 0
2. xcos²y dx + tanydy = 0
3. [xcos² (y] dx + xdy = 0; when x = 1, y =
4. x(x² + y²)²(ydx - xdy) + yбdy = 0
5. (xy²+y-x)dx + x(xy + 1)dy = 0
-
6. (1xy) dx + [y² + x²(1 − xy)-2]dy = 0; when x = 2, y = 1
7. y'tanx sin2y = sin²x + cos²y
8. (x+2y1)dx + (2x+4y-3)dy = 0
9. (x 1)y' y + 2(x − 1)³
-
10. xdy-ydx-xy³dx - xy³lnxdx = 0
Transcribed Image Text:1. Use any appropriate method in finding the indicated solution of the following differential equations. 1. (1+lnx)dx + (1 + Iny)dy = 0 2. xcos²y dx + tanydy = 0 3. [xcos² (y] dx + xdy = 0; when x = 1, y = 4. x(x² + y²)²(ydx - xdy) + yбdy = 0 5. (xy²+y-x)dx + x(xy + 1)dy = 0 - 6. (1xy) dx + [y² + x²(1 − xy)-2]dy = 0; when x = 2, y = 1 7. y'tanx sin2y = sin²x + cos²y 8. (x+2y1)dx + (2x+4y-3)dy = 0 9. (x 1)y' y + 2(x − 1)³ - 10. xdy-ydx-xy³dx - xy³lnxdx = 0
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,