Freagairtean Differential Fhearsaid 1

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Questions and Answers

Dè na freagairtean a tha ceàrr? (Tagh a h-uile freagairt a tha freagairteach)

  • Is e CamScanner freagairtean teicneòlach a th' ann. (correct)
  • Tha CamScanner gu sònraichte airson ceòl. (correct)
  • Tha CamScanner a' cleachdadh innealan optical.
  • Faodaidh CamScanner sgrìobhainnean a scanadh.

Dè a tha an t-ainm 'CamScanner' a' toirt a-steach mu dheidhinn?

  • Ainm a' bharail a tha an làrach a' tabhann.
  • Innealan airson fòn cliste. (correct)
  • Àireamh air an uidheam scanachaidh.
  • Fuasglaidhean airson measaidhean.

Cò na daoine a tha as motha a' cleachdadh CamScanner?

  • Dòigh dànladhaidh.
  • Mion-fhiosrachadh air geamannan.
  • Oideachadh agus oifigichean. (correct)
  • Earrannan ciùil.

Cò a tha an àireamh airson CamScanner?

<p>Leigidh e le chéile, ach chan e aig an aon àm. (A), Is e 100 an àireamh a bhios e a' toirt. (B)</p> Signup and view all the answers

Dè a bheir CamScanner seachad do mheudachadh air an inneal?

<p>Pàighidhean bhon eadar-lìon. (C), Foillseachadh faidhle. (D)</p> Signup and view all the answers

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Study Notes

First Order Differential Equations

  • Ordinary Differential Equations (ODEs): Relationships between two variables (e.g., x, y) and their derivatives.
  • Examples of ODEs:
    • y" + xy' = 0
    • (5x + y)dx + (4xy)dy = 0
  • Partial Differential Equations (PDEs): Relationships between more than two variables and their derivatives.
  • Examples of PDEs:
    • ∂u/∂t = c² ∂²u/∂x²
    • ∂²u/∂x² + ∂²u/∂y² = 0
  • Solving Differential Equations: Finding the relationship between variables without derivatives.

Order and Degree of Equations

  • Order: Highest order of derivative in the equation.
  • Degree: Highest power of the highest order derivative in the equation.
  • Examples (extracted from the provided texts):
    • (Order 3, Degree 2): - (y''')²+ (y'')⁵ = f(x)
    • (Order 2, Degree 1): - x²y" +(y')³ = cosx
    • (Order 4, Degree 1): - y(4) + f(x) = 0

Standard and Differential Forms

  • Standard Form: dy/dx = f(x, y)
  • Differential Form: M(x, y) dx + N(x, y) dy = 0

Important Integrals

  • Integrals of various trigonometric, hyperbolic, and algebraic functions are provided (with solutions). These are examples of formulas to use when solving equations. Students should study these formulas.

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