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Differential Equations

Mixed approximation vs. full approximation for a power series expansion
6.8K threads
Undergrad Mixed approximation vs. full approximation for a power series expansion
Undergrad Can function transformation result in a constant variation?
  • Higgsono
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9
How Do You Solve Problems on Tangent and Velocity for a Sliding Ladder?
  • Soohyun
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1
Undergrad What's the point of Taylor/Maclaurin series?
  • Zack K
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17
Undergrad Applying a constraint in the calculus of variations
  • Philip Koeck
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9
Calculus: Understanding Infinity in Functions
  • highmath
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5
205.2.6.1-2 another implicit problem with tangent line.
  • karush
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1
Implicit Differentiation of 5=2x^2y+7xy^2
  • karush
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9
High School Calculating (dr)^2: Formula & Examples
  • jk22
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5
Undergrad Volume of revolution -- Why use this integral?
  • opus
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13
Solving Limits of Integrals: Advice & Tips
  • Vali
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2
What Happens to the Limit of This Function as T Approaches Infinity?
  • Another1
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3
High School Gradient and divergence operators
  • Hiero
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9
Undergrad Finding the equation of a bitangent line to a curve
  • Kyrie
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6
Undergrad Is the Equation for Integrating an Exact Differential Correct?
  • Cathr
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7
Limit (x1) as m->infinity ( x1 - the lowest root )
  • Vali
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5
Undergrad Why is ln(x) Important in Mathematical Formulas?
  • Newtons Apple
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7
Graduate Gateaux vs. Frechet in Calc.Variations
  • Trying2Learn
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5
The Jacobian and area differential
  • WMDhamnekar
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1
Undergrad How Do Trigonometric and Exponential Functions Connect?
  • Trying2Learn
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9
What are the positive values for a in the equation a^x=x+2?
  • Vali
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4
Undergrad Precise intuition about limits and infinitesimals
  • Sleek
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4
How Do You Solve an Integral with Two Variables?
  • goohu
  • · Replies 5 ·
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5
Undergrad Need help understanding text from 'Calculus' by Apostol
  • omoplata
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9
Solving the Equation a^x=x: What is C?
  • Vali
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4
High School What is the notation you would use to express this theorem?
  • Hiero
  • · Replies 8 ·
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8
Using Standard Taylor Series to build other Taylor Series
  • lyd123
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2
High School Base e to an imaginary exponent seeming contradiction
  • rude man
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19
Proving Integral: $$t-3t^3+t^5\over 1+t^4+t^8$$ $\&$ $$\ln(-\ln t)$$
  • Tony1
  • · Replies 9 ·
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9
High School Line Integral, Dot Product Confusion
  • Lost1ne
  • · Replies 8 ·
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8
Simpsons formula and the volume of a pyramid frustum
  • jorgenhansen501
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4
High School Geodesic dome parametric formula
  • JessicaHelena
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1
Undergrad Can the Fourier Transform of an L^1 Function be Bounded by its L^1 Norm?
  • dRic2
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3
Insights A Numerical Insight for the Fundamental Theorem of Calculus - Comments
  • Delta2
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8
Undergrad Integration over a part of a spherical shell in Cartesian coordinates
  • cromata
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1
Undergrad Fourier transform for cosine function
  • Soumitra
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2
Find the distance between points C and D if the height of the tree is 4m
  • Elissa89
  • · Replies 1 ·
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1
Undergrad Looking for intuition on differentials and arc length
  • opus
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16
Evaluate cos 2(theta) and sin 2(theta)
  • Elissa89
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2
Undergrad A surface integral over infinite space
  • dyn
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6
Undergrad How to convert the limit of a series into an integral?
  • Adesh
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17
Undergrad Math of charts derrived from projectile motion equations
  • ScientificMind
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4
Undergrad Solution to a second order differential equation
  • Taylor_1989
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3
High School Is This a Valid Proof for the Number of Roots in a nth Degree Polynomial?
  • YoungPhysicist
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21
Sum of two infinite series: Σ[1/(36r^2-1)+2/(36r^2-1)^2]
  • juantheron
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2
Graduate Integration with Euler angle of rotation matrixes
  • RiceSweet
  • · Replies 7 ·
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7
How Do You Evaluate the Indefinite Integral as a Power Series?
  • ajkess1994
  • · Replies 2 ·
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2
Undergrad Why split interval here? Area under a curve
  • opus
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8
High School How do you create a + and π sign using multivariable (x,y,z)
  • JessicaHelena
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1
High School A rookie question for integrals of polynomial functions
  • YoungPhysicist
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3
Undergrad Change of variables; why do we take the absolute value?
  • Hiero
  • · Replies 6 ·
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6
Undergrad How do we integrate x^2/(e^x - 1) from xg to infinity?
  • Max Loo Pin Mok
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2
Undergrad Differentiation and Integration cannot always be swapped
  • Delta2
  • · Replies 21 ·
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21
Total Angular Momentum of a Tractrix
  • Dr Edward
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1
Graduate Understanding the Order of Poles in Complex Functions
  • Baibhab Bose
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4
Estimate Paint for Hemispherical Dome - Linear Approximation
  • josesalazmat
  • · Replies 1 ·
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1
Undergrad Convergence of an infinite series
  • Jazzyrohan
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15
Limit of Function at x=0: Does Not Exist (DNE)
  • josesalazmat
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1
Webpage title: The Importance of Correct Order in the Definition of Limit
  • CStudent
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2
Graduate How to find the displacement vector in Spherical coordinate
  • Aswin Jagadeesh A
  • · Replies 11 ·
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11
Undergrad How to transform this into partial derivatives? (Arfken)
  • physicophysiology
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5
Undergrad Simpson's method, error estimate
  • Kqwert
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2
Undergrad What is convergence and 1+2+3+4....... = -1/12
  • bhobba
  • · Replies 37 ·
2
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37
Solve f(x,y,z): Min & Max Values Subject to Constraint x^2+2y^2+6z^2=81
  • ajkess1994
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3
Undergrad Prove Integrable Function Property on [0,1]
  • mathman
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2
Increase and decrease functions
  • jose1
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1
Integral of a portion of spacetime
  • Sandra Conor
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8
Solve Lagrange Multipliers Problem w/ e^(9x) - Find (a,b)
  • ajkess1994
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2
Find the average or mean slope of the function on a interval
  • jose1
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1
Undergrad Integral over a region in spacetime
  • Sandra Conor
  • · Replies 5 ·
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5
High School I want to define a function knowing only it's limits
  • maxhersch
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4
Alex's question at Yahoo Answers regarding maximizing viewing angle
  • MarkFL
  • · Replies 3 ·
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3
Undergrad Integral power rule explanation
  • YoungPhysicist
  • · Replies 4 ·
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4
Undergrad Multivariate Calculus for a Game World
  • gibberingmouther
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5
Tractrix on a line below the x-axis
  • Dr Edward
  • · Replies 11 ·
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11
Undergrad Proving the limit of a sequence from the definition of limit
  • marksyncm
  • · Replies 16 ·
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16
Undergrad Difference Between Inward and Outward Spiral Curves
  • sams
  • · Replies 1 ·
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1
Undergrad Calculating Divergence of a Vector Field in Three Dimensions
  • I_laff
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6
Simplifying f(a+h)=-5(a+h)^2+2(a+h)-1
  • Rujaxso
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9
Find Analytic Expression for Integral with Approximations
  • venkaiah
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1
Undergrad How Are the Kronecker Delta and Dirac Delta Related?
  • Another
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2
Undergrad Help finding more info on some theorems [Vector Integrals]
  • mishima
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2
7.3.5 Integral with trig substitution
  • karush
  • · Replies 1 ·
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1
Undergrad Total Derivative of a Constrained System
  • Runei
  • · Replies 12 ·
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12
Undergrad Closed-Form Solution Desired for Infinite Series
  • stevendaryl
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1
Undergrad Area divided by linear function
  • YoungPhysicist
  • · Replies 8 ·
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8
A generalization of the limit definining \$e\$.
  • Alone
  • · Replies 1 ·
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1
Power Series (Which test can i use to determine divergence at the end points)
  • yeny
  • · Replies 1 ·
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1
Undergrad Request for specific derivative data
  • m4r35n357
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2
Calculus 2 (Power Series) when the limit is zero by root test
  • yeny
  • · Replies 1 ·
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1
Undergrad How Were Napier’s Logarithms Invented?
  • DLeuPel
  • · Replies 3 ·
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3
Why is infinitesimal considered a number in mathematics?
  • highmath
  • · Replies 13 ·
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13
Undergrad Largest subset in which a function is continuous
  • 0kelvin
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1
Graduate How to Integrate Kepler's Problem in Landau Mechanics?
  • physicophysiology
  • · Replies 4 ·
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4
Graduate What Is the Partial Fraction Expansion of 1/[((a+s)*(1+b/s)^m)]?
  • nikozm
  • · Replies 1 ·
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1
Undergrad How Do You Derive Curl in Cylindrical Coordinates?
  • WendysRules
  • · Replies 4 ·
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4
Undergrad Identifying Errors in Calculus: Understanding Continuity
  • cvc121
  • · Replies 17 ·
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17
Undergrad Differentiability of a function of two variables
  • Jazzyrohan
  • · Replies 8 ·
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8
Limit $\frac{f(x)}{g(x)}$: Solve w/ L'H Rule
  • karush
  • · Replies 4 ·
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4
Undergrad Solid of revolution -- General question
  • 0kelvin
  • · Replies 1 ·
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1
Undergrad Infinity: The Limit Concept and Cantor Transfinites
  • Frank Peters
  • · Replies 11 ·
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11