psk981
dy/dx= 3x^3y
Solve the differential equation. Write the answer as an explicit solution (i.e. solve for the dependent variable).
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psk981
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it is \[3x ^{3}*y\]
akash809
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u sure abt the power 3x^3y..i dont think i hv seen something like that before
ParthKohli
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\[{dy \over dx} = 3x^{\large3}y\]Actually, that's the question for everyone's clarification.
akash809
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ans is ln(y)= 3x^4/4 +c
akash809
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ryt
Algebraic!
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\[\frac{ dy }{ y} = { x ^{3}dx}\]
akash809
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yes integrate that and u get what i posted
akash809
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give me a medal psk if the ans is ryt :)'
akash809
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r u moderator
Algebraic!
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no u?
Omniscience
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\[\frac{dy}{dx} =3x^{3} y => \frac{dy}{y} =3x^3dx => \int\limits\frac{dy}{y} =\int\limits3x^{3}dx => \ln(y)=\frac{3x^{4}}{4} +C\]
i think you have to find the analytical solution next
febylailani
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dy/dx= 3x^(3)*y
3.3x2.
how about y??
psk981
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then if i take ln of both sides i should get the whole right side in exponent form??