differentiala equation | Mathematics | Page 1

rigid igloo Feb 16, 2023, 2:44 AM

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warped cypress Feb 16, 2023, 3:05 AM

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,rotate

limber nestBOT Feb 16, 2023, 3:05 AM

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stoic vector Feb 17, 2023, 4:49 AM

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what do you remember the formula?

rigid igloo Feb 17, 2023, 4:51 AM

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its a homogenous equation

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so we have to substitute y=vx

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but im getting stuck in the integration that follows

stoic vector Feb 17, 2023, 4:51 AM

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i thought it is derivate problem because of dx in there if so then you can do the implicit differentiation

rigid igloo Feb 17, 2023, 4:52 AM

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the problem requires us to find the general solution of this equation

stoic vector Feb 17, 2023, 5:07 AM

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i am sure you do need to do implicit differentition

rigid igloo Feb 17, 2023, 5:09 AM

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yes indeed

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after we make a substitution of y=vx

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lets say dy/dx = f(x,y)

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after substitution will be something like this

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x(dv/dx) = f(v)

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whuch we then integrate to get the general soltion

#differentiala equation