Solve the differential equation dy/dx=8x^2y^2 with the condition given  that y(2)=3 .

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barce90 | Student, Undergraduate | (Level 1) Honors

Posted on

dy/dx=16xy^2/8x^2y, but now with the condition that y(2)=3 what would be the answer then?

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pramodpandey | College Teacher | (Level 3) Valedictorian

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We have given


In the problem ,variables are separable. Thus


Integrating, we have




Given x=2,y=3 ,thus