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b3n5p34km4n
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so I'm in my second week of my first differential equations class, and i can't seem to get this problem.
Show that 5x2y2 - 2x3y2 = 1 is an implicit solution of the differential equation x(dy/dx) + y = x3y3 on the interval 0 < x < 5/2
for dy/dx, i got (3xy-5y)/(5x-4x2), I'm pretty sure it's right, but if it's not then it might be why i can't quite get this. i also solved for y explicitly, but then i realized i could just factor it out.
well that's what i did, and all i end up with is just a big polynomial... I'm sure I'm doing it wrong. help please?
edit: alright alright i just saw the sticky... truth be told i just google differential equations forum and signed up real quick to post this, so i was in a hurry. sorry i posted this is the wrong forum :(
Show that 5x2y2 - 2x3y2 = 1 is an implicit solution of the differential equation x(dy/dx) + y = x3y3 on the interval 0 < x < 5/2
for dy/dx, i got (3xy-5y)/(5x-4x2), I'm pretty sure it's right, but if it's not then it might be why i can't quite get this. i also solved for y explicitly, but then i realized i could just factor it out.
well that's what i did, and all i end up with is just a big polynomial... I'm sure I'm doing it wrong. help please?
edit: alright alright i just saw the sticky... truth be told i just google differential equations forum and signed up real quick to post this, so i was in a hurry. sorry i posted this is the wrong forum :(
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