Verify that (x × y)–1 = x–1 × y–1 by taking x = − 2
/3 and y = -3/4
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Answer:
1. y=e
x
+1 : y
′′
−y=0
2. y=x
2
+2x+C : y
′
−2x−2=0
3. y=cosx+C : y
′
+sinx=0
4. y=
1+x
2
: y
′
=
1+x
2
xy
5. y=Ax : xy=y(x
=0)
6. y=xsinx : xy=y+x
x
2
y
2
(x
=0andx>yorx<y)
7. xy=logy+C : y
′
=
1−xy
y
2
(xy
=1)
8. y−cosy=x : (ysiny+cosy+x)y
′
=y
9. x+y=tan
−1
y : y
2
y
′
+y
2
+1=0
10. y=
a
2
−x
2
xϵ(−a,a) : x+y
dx
dy
=0(y
=0)
Step-by-step explanation:
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