ax+b _ cx+d (X1) a+bx c+dx Lazb, czd], x # (xi)

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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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From question (xi) to (xx) All...with explanation
4.
Let us solve:
(i) 3y-20=160–2y²
(ii) (2x+1)² +(x+1)² = 6x+47
(iii) (x-7) (x-9)=195
(iv) 3x - 24 ,x =0 (v)+-15
(iv) 3x – 24-X x#0
(vi) 10x-
X
1.
= 3, x # 0
X +0
%3D
X
X
(vii) -+2=0, x # 0
(x-2)
(viii) (x+2) + 6 (-6) =1, x#-2, 6.
1.
x+1
(x) x+1T
(Ix) x-3 x+56> X# 3, -5
ax+b _ cx+d
(xi) a+bxc+dx la=b, c#d], X #-5, d
x+1 2
12, X0,-1
X
a -C
5a (xii) (2x+1) +2x+1=4, x + -
2x+15 – 35, x+-
3
%3D
%3D
xE =+ **-1 (xiv) 3x+1
x+1
3 5
(xiii)
x+7 =35, x#-
1,1,1
b x X#0,-(a+b)
-7
조+3 + 6 (3) =5, x + 3, -3
x+
(xvi) a+b+x
%3D
a
x+a 2
(xvii) () -5G) +6=0,x#a
1.
1.
(xviii) x x+b
X#0, -b
X-a
a a+b
(xix)(x–1)(x-2)
(х-2)(х-3) (х-3)(х-4) -
,x #1, 2, 3, 4
b
+x-b=x-c• X # a, b, c (xxi) x²-(3 +2)x+2/3 =0
a
2c
(xx):
X-a'x-b=
X-C
Application: 16. My maternal uncle travelled 84 kms. by cycle and observed that if he would
be cycling with the speed of 5kms/hr more, then the time taken to complete the journey is
reduced by 5 hrs. let me calculate and write the speed of my maternal uncle's journey in km/hr.
Transcribed Image Text:4. Let us solve: (i) 3y-20=160–2y² (ii) (2x+1)² +(x+1)² = 6x+47 (iii) (x-7) (x-9)=195 (iv) 3x - 24 ,x =0 (v)+-15 (iv) 3x – 24-X x#0 (vi) 10x- X 1. = 3, x # 0 X +0 %3D X X (vii) -+2=0, x # 0 (x-2) (viii) (x+2) + 6 (-6) =1, x#-2, 6. 1. x+1 (x) x+1T (Ix) x-3 x+56> X# 3, -5 ax+b _ cx+d (xi) a+bxc+dx la=b, c#d], X #-5, d x+1 2 12, X0,-1 X a -C 5a (xii) (2x+1) +2x+1=4, x + - 2x+15 – 35, x+- 3 %3D %3D xE =+ **-1 (xiv) 3x+1 x+1 3 5 (xiii) x+7 =35, x#- 1,1,1 b x X#0,-(a+b) -7 조+3 + 6 (3) =5, x + 3, -3 x+ (xvi) a+b+x %3D a x+a 2 (xvii) () -5G) +6=0,x#a 1. 1. (xviii) x x+b X#0, -b X-a a a+b (xix)(x–1)(x-2) (х-2)(х-3) (х-3)(х-4) - ,x #1, 2, 3, 4 b +x-b=x-c• X # a, b, c (xxi) x²-(3 +2)x+2/3 =0 a 2c (xx): X-a'x-b= X-C Application: 16. My maternal uncle travelled 84 kms. by cycle and observed that if he would be cycling with the speed of 5kms/hr more, then the time taken to complete the journey is reduced by 5 hrs. let me calculate and write the speed of my maternal uncle's journey in km/hr.
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