How Do I Approach Solving the Differential Equation dy^2/dx = 62y - 0.2?

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Discussion Overview

The discussion revolves around the differential equation dy^2/dx = 62y - 0.2, with participants seeking clarification and assistance in solving it. The conversation evolves as participants correct the equation and discuss its form, implications, and appropriate methods for solving differential equations.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant requests help with the differential equation dy^2/dx = 62y - 0.2.
  • Another participant questions the original equation, suggesting it might be (dy/dx)^2 = 62y - 0.2 and asks for clarification.
  • A third participant proposes a substitution method, suggesting to let z = y^2, leading to the equation dz/dx = 62√z - 0.2.
  • A later reply corrects the equation to d^2y/dx^2 = 62y - 0.2, indicating a change in the order of the differential equation.
  • Another participant discusses the standard form of second-order differential equations and suggests reviewing relevant theory, while also noting the post's placement in the forum.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the original form of the differential equation, with multiple interpretations presented. The discussion remains unresolved regarding the correct approach to solving the equation.

Contextual Notes

There are missing assumptions regarding the initial conditions and the specific methods for solving the corrected second-order differential equation. The discussion also reflects uncertainty about the appropriate section for posting such queries.

Jennifer_88
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Hi

can someone help with the DE

dy^2/dx=62y-.2

thanks in advance
 
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Are you sure it doesn't read (dy/dx)^2 = 62y - 0.2 ?

Please clarify..
 
Last edited:
Is this what you meant? \frac{ d\left(y^2\right) }{dx} = 62y -0.2. If so just write z in place of y^2 so \frac{dz}{dx} = 62\sqrt{z} -0.2, and separate variables as usual.
 
sorry every one it's d^2y/dx^2=62y-.2
 
Ok, have you learned how to deal with differential equations of the form y'' + ay' + by = c where a,b,c are constants. Because that's what this problem is. If not, I suggest you read through that section in your textbook or notes again. If you do know the theory for diff. eqns of that form, what specifically got you stuck?

That reminds me - this is posted in the wrong section. Please always post requests for help with standard textbook type questions in the homework section, even if it isn't set as homework to you.
 

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