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de + sec r(t sin t+ cos t)e= sec r I when 6=1. 0=-(sin t dy dr x+ 3. Given the equation x = 2 that the particular solution is y= siven the boundary conditions tha

de + sec r(t sin t+ cos t)e= sec r I when 6=1. 0=-(sin t dy dr x+ 3. Given the equation x = 2 that the particular solution is y= siven the boundary conditions tha

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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de 2.t + sec r(t sin t+ cos t)e= sec t, given de I when 8 =1. (sin t-A Cos t) dy 3. Given the equation x -y show %3D dr that the particular solution is y=- In(x+2). given the boundary conditions that x=-1 when y 0 4. Show that the solution of the differential equation dy -2(x+1)= dr 4. %3D (x+1) is y (x+1)* In(x+1), given that x 0 when y 0 5. Show that the solution of the differential equation dy + ky = a sin bx dr is given by: (k sin bx – bcos bx) -()- given y=1 when x 0. de =-(av+ br), where a and de 6. The equation b are constants, represents an equation of motion when a particle moves in a resisting medium. Solve the equation for v given that = when z=0. be 7. In an alternating current circuit containing resistance R and inductance L the current i is di = Eg sin at. Given i=0 dr given by: Ri+L when r=0, show that the solution of the equation is given by: Ea (Rsin ut-aL.cos ut) Egoal -R/L R+ +L?
Transcribed Image Text:de 2.t + sec r(t sin t+ cos t)e= sec t, given de I when 8 =1. (sin t-A Cos t) dy 3. Given the equation x -y show %3D dr that the particular solution is y=- In(x+2). given the boundary conditions that x=-1 when y 0 4. Show that the solution of the differential equation dy -2(x+1)= dr 4. %3D (x+1) is y (x+1)* In(x+1), given that x 0 when y 0 5. Show that the solution of the differential equation dy + ky = a sin bx dr is given by: (k sin bx – bcos bx) -()- given y=1 when x 0. de =-(av+ br), where a and de 6. The equation b are constants, represents an equation of motion when a particle moves in a resisting medium. Solve the equation for v given that = when z=0. be 7. In an alternating current circuit containing resistance R and inductance L the current i is di = Eg sin at. Given i=0 dr given by: Ri+L when r=0, show that the solution of the equation is given by: Ea (Rsin ut-aL.cos ut) Egoal -R/L R+ +L?
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