Recent content by echomochi
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Finding an implicit solution to this differential equation
Ah, right. Thank you for your help!- echomochi
- Post #5
- Forum: Calculus and Beyond Homework Help
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Finding an implicit solution to this differential equation
Okay, that makes sense. Going back to before dividing by x: u + x du/dx = [ 1 + u2 ] / 5u Subtract the u: x du/dx = [ 1 - 4u2 ] / 5u Rearrange to get du and dx on each side: [ 1/x ] dx = [ 5u / [ 1 - 4u2 ] ] du Then integrating: ln( x ) + C = [ -5/8 ] ln( 1-4u2 ) Raise e to all terms...- echomochi
- Post #3
- Forum: Calculus and Beyond Homework Help
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Finding an implicit solution to this differential equation
Homework Statement Find an equation that defines IMPLICITLY the parameterized family of solutions y(x) of the differential equation: 5xy dy/dx = x2 + y2 Homework Equations y=ux dy/dx = u+xdu/dx C as a constant of integration The Attempt at a Solution I saw a similar D.E. solved using the y=ux...- echomochi
- Thread
- Differential Differential equation Differential equations Implicit Substitution
- Replies: 5
- Forum: Calculus and Beyond Homework Help
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What's Your Cat's Favorite Pasta Sauce?
Hahaha, it's not my picture, but maybe its special fish pasta :wink: Or it's just an ill-fed kitten.- echomochi
- Post #3
- Forum: New Member Introductions
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What's Your Cat's Favorite Pasta Sauce?
Hi! I have been using PhysicsForums for years now, but I decided to finally make an account so I might be able to participate as well as lurk. Happy science-ing!- echomochi
- Thread
- Replies: 2
- Forum: New Member Introductions