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Find the solution of the following Differential Equations 1) ydx+ xdy 0 2) (xdy- ydx)/x = 0

Find the solution of the following Differential Equations 1) ydx+ xdy 0 2) (xdy- ydx)/x = 0

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the solution of the following Differential Equations 1) ydx + xdy = 0 2) (xdy- ydx)/ x = 0 3) (2x+e")dx+ xe' dy 0 5) sinh(x)cos(y)dx = cosh(x) sin(y)dy 7) (1+x')dy + 2xydx = 0 4) 2xIn(y)dx+ y'r'dy 0 6) 3re"d0 +e°dr = 0 8) xdy-4ydx 0 %3D 9) ydx+ x(1+ y)dy = 0 10) (2 ydx+dy)e =0 11) (3ycos(3x)dx -sin(3x)dy)/ y 0 12) sin(B y)dx=-B cos(B y)dy 13) xdy - ydx = 0 14) 2cos(7 y)dx = A sin(r y)dy 15) ycos(x)dx+3 sin(x)dy 0 16) 3ydx+2xdy = 0 %3D 17) dx+(y/x)'dy= 0 19) ycos(x)dx + 2 sin(x)dy = 0 18) 2dx - e" "dy 0 20) (y+1)dx-(x+1)dy 0 %3D 21) 2ydx+ xdy =0 22) sin(y)dx + cos(y)dy = 0 23) 2dx + sec(x)cos(y) = 0, y(0) = 0 24) 2x'dx - 3.xy'dy = 0, y(1) = 0 25) 2 sin(y)dx+cos(y)dy 0, 26) (2y+xy)dr+2.xdy 0, y(0) = z/2 y(3) = 2 %3!
Transcribed Image Text:Find the solution of the following Differential Equations 1) ydx + xdy = 0 2) (xdy- ydx)/ x = 0 3) (2x+e")dx+ xe' dy 0 5) sinh(x)cos(y)dx = cosh(x) sin(y)dy 7) (1+x')dy + 2xydx = 0 4) 2xIn(y)dx+ y'r'dy 0 6) 3re"d0 +e°dr = 0 8) xdy-4ydx 0 %3D 9) ydx+ x(1+ y)dy = 0 10) (2 ydx+dy)e =0 11) (3ycos(3x)dx -sin(3x)dy)/ y 0 12) sin(B y)dx=-B cos(B y)dy 13) xdy - ydx = 0 14) 2cos(7 y)dx = A sin(r y)dy 15) ycos(x)dx+3 sin(x)dy 0 16) 3ydx+2xdy = 0 %3D 17) dx+(y/x)'dy= 0 19) ycos(x)dx + 2 sin(x)dy = 0 18) 2dx - e" "dy 0 20) (y+1)dx-(x+1)dy 0 %3D 21) 2ydx+ xdy =0 22) sin(y)dx + cos(y)dy = 0 23) 2dx + sec(x)cos(y) = 0, y(0) = 0 24) 2x'dx - 3.xy'dy = 0, y(1) = 0 25) 2 sin(y)dx+cos(y)dy 0, 26) (2y+xy)dr+2.xdy 0, y(0) = z/2 y(3) = 2 %3!
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