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Solve the equation (3 y^(4)-5 x^(2) y^(2) -6 x^(4) ) dx-(4x y^(3)) dy=0 leaving your answer in implicit form.
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Solve the equation (3 y^(4)-5 x^(2) y^(2) -6 x^(4) ) dx-(4x y^(3)) dy=0 leaving your answer in implicit form.
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Feb 16, 2018
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Solve the equation
leaving your answer in implicit form.
Mathematics
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GrizzlyBear
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Multiplying both the numerator and denominator by
, we get
Since the derivative can be expressed as a function of
, the ODE is homogeneous. This means substituting
will be an effective approach. Indeed, we have
, and the ODE can be rewritten as the separable equation
You're welcome to unpack this further, but I would stop here.
Cherese
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Feb 22, 2018
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Cherese
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