Easy diffrential bomb

Calculus Level 2

The solution of differential equation d y d x ( 2 x 10 y 3 ) + y = 0 \frac { dy }{ dx } (2x-10{ y }^{ 3 })+y=0 is?

x ( y 2 + x y ) = 0 x({ y }^{ 2 }+xy)=0 x + y = c e 2 x x+y=c{ e }^{ 2x } y 2 = 2 x 3 + c { y }^{ 2 }=2{ x }^{ 3 }+c x y 2 = 2 y 5 + c x{ y }^{ 2 }=2{ y }^{ 5 }+c

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1 solution

Ciara Sean
Jun 17, 2015

Wrong question. >:(

Instead of d x / d y dx/dy it should be d y / d x dy/dx according to your answer.

Thanks. I have updated the problem statement accordingly.

Andrew Ellinor - 5 years, 5 months ago

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