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Dè na freagairtean a tha ceàrr? (Tagh a h-uile freagairt a tha freagairteach)
Dè na freagairtean a tha ceàrr? (Tagh a h-uile freagairt a tha freagairteach)
Dè a tha an t-ainm 'CamScanner' a' toirt a-steach mu dheidhinn?
Dè a tha an t-ainm 'CamScanner' a' toirt a-steach mu dheidhinn?
Cò na daoine a tha as motha a' cleachdadh CamScanner?
Cò na daoine a tha as motha a' cleachdadh CamScanner?
Cò a tha an àireamh airson CamScanner?
Cò a tha an àireamh airson CamScanner?
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Dè a bheir CamScanner seachad do mheudachadh air an inneal?
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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.
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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.
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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.
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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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Description
Tha an quiz seo a’ gabhail a-steach freagairtean differential àbhaisteach agus pàirteach. Leis na h-eòlaichean, faodaidh tu na freagairtean a thuigsinn nam measg òrdugh is ceum. Faigh freagairtean airson na h-euslaintichean seo gu h-iomlan.
