Engineering Board Exam Reviewer · Variable Separable Equations · medium

Solve dy/dx=y x with y(0)=2 and find y≤ft( π3 ).

1. 2
2. 1
3. 4
4. 8

Answer

C. 4

Solution

dy/y= x,dx y=- x+c y=A x. y(0)=2 A=2, so y≤ft( π3 )=2 π3=4.

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