Your Practice Set – Applications and Interpretation for IBDP Mathematics
dy
2 3 . Consider the differential equation � , where x , y � 0.
2 dx y
( a ) Find the expression of
1
3
It is given that y � 9 when x � 121.
3 y , giving the answer in terms of x . [ 3 ]
( b ) Find the expression of y .
( c ) Hence , find y when
61 x � .
3
4 . Consider the differential equation dy dx y � .
3 x
�� ye , where x , 0
[ 3 ]
[ 2 ]
1 ( a ) Find the expression of
2
2y , giving the answer in terms of x . [ 3 ]
It is given that y � 0.25 when x � ln 2 .
( b ) Find the expression of y .
( c ) Hence , find y when x � ln12 .
[ 3 ]
[ 2 ]
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