Differential Equations
4th Edition
ISBN: 9780495561989
Author: Paul Blanchard, Robert L. Devaney, Glen R. Hall
Publisher: Cengage Learning
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A particular solution for y +2y +y=1-cosx
Select one:
a.
A+B cosx
b.
A+ Bx cosx +C x sinx
C.
A + B x2 + C cosx + D sinx
d.
A+ B cosx + C sinx
A particular solution for y + 2y +y=1- coSx
Select one:
a.
A+B COSX
b.
A+ B cosx + C sinx
C.
A+Bx cosx +Cx sinx
O d.
A + Bx2 +C cosx+ D sinx
For each of the following vector fields F, decide whether it is conservative or not by computing the appropriate
first order partial derivatives. Type in a potential function f (that is, Vf = F) with f(0,0) = 0. If it is not conservative, type
N.
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- Evaluate: Jsin(/x)dx A 2/x sin(/x)- 2cos(x)+ C B 2sin(x)+2/xcos(/x)+ C B 2sin(/x)-2/xcos(Vx)+ C 2/x sin(Vx)+2cos(/x)+ C E) None of the given Choicesarrow_forward3. Solve the equation: (Dª – 1) y = 0 O y = cje* + czeč + c3 COS x + C4 sin x O y = cje* + c2xe² + c3x² cos x + c4x³ sin xarrow_forwardWhich of the following equations does not hold for all values of x and y? cos(r + y) = cos(x) cos(y) – sin(x) sin(y) sin(2x) = 2 sin(x) cos(x) sin? æ + cos (x) =1 sin(-a) = - sin(x) sin(x + y) = sin(x) + sin(y)arrow_forward
- If x*y" + xy +(x? -y3D x>0 V1=x 2sinx and y=y,v. Which of the following equations satisfied by v Select one: a. (x 2 sinx)v" + (2x2 cosx)v' =0 O b. (x sinx)y" + (2x cosx-xsinx+xsinx)v =0 cosx - x 2 sinx+x2 sinx)v =0 C. (x 2 sinx)v" + (2x 2 cosx)v =0 (x 2 sinx)v" + (2x 2 cosx)v=0arrow_forward(D3 3D2 + 9D + 13)y 0 2.x a. y=y. = C,e* + e*(C, cos 3x + C,sinx) C,e+ e* (C, cos 3x + C,sinx) Ce* + e2*(C2 cos 3x + C4sinx) b. y=yc = y = y. = Ce* + e*(C, cos 3x + C,sinx) [2x d. y y. = Ce*+ e(C, cos 3x + C,sinx) -2xarrow_forward1. Determine dy for each of the following. Do not factor but simplify where appropriate. dxarrow_forward
- What is the solution of the DE tan? x csc³ y dx = dy? cos³y A. tan x – x = cos y+ + c B. tan x = – cos y + cos³y + c cos3y + c C. x = - cos y + cos³y + c 3 D. tan x – x = - cos y + Answer: What is the order of y" + y" + y' + y = 0 A. Order 1 B. Order 2 C. Order 3 D. none Answer:arrow_forwardIf z = x² + y² and x t cos 2r and y = r sint, then is at2 (A) 2 cos?(2r) + 2r? cos?(t) - 2ry sin t (B) -8tx cos 2r + 8t2 sin 2r + 2 sin? t (C) 2 cos (2r) – 2r? cos?(t) + 2ry sin t (D) –8tx cos 2r + 8t?sin2(2r) – 2 sin? t (E) –4x sin 2r = 2t sin 4r + 2y cos t +r sin 2tarrow_forwardIntegrate S(cos x)e*+sin xdx B. et-sinx +C A. -e++sin x + C c. e++sinx + c D. e-4+sin x + C A В C Darrow_forward
- If z = x? – y² and x = t cos 2r and y = r sint , then a2z is (A) 2 cos?(2r) + 2r² cos?(t) – 2ry sin t (B) -8tx cos 2r + 8t2 sin 2r + 2 sin? t (C) 2 cos? (2r) – 2r? cos? (t) + 2ry sin t (D) -8tx cos 2r + 8t?sin? (2r) – 2 sin? t (E) -4x sin 2r – 2t sin 4r + 2y cos t +rsin 2tarrow_forwardA particular solution for y +2y +y=1- cosx Select one: а. A + B cosx b. A+Bx cosx + Cx sinx C. А+ В сosx + C sinx d. A + Bx² + C cosx + D sinxarrow_forwardSolve: (2y cos x + sin* x) dx = sin x dy 4 O y y csc x+ cos = O y csc? x - CoS T = C .2 O y csc? a + sin r C O y sec x + cos x = C O y sec? x + sin x = C O y sec r – cos r = Carrow_forward
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