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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
High School Advice to obtain the domain of compound functions
  • mcastillo356
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2
High School What Function Produces a Smooth Curve with Specific Symmetry and Decay?
  • DaveC426913
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11
Indeterminate Integration with Integration Constant
  • mathmari
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6
Graduate How do I know "what Fourier transform" to use?
  • LCSphysicist
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3
High School Question about set containing subsequential limits of bounded sequence
  • Eclair_de_XII
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6
Undergrad PF Integral Bee: Share Interesting/Quirky Integrals!
  • ergospherical
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1
Undergrad Integration Using Hyperbolic Substitution
  • askor
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1
High School The norm of the derivative of a vector
  • redtree
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13
High School Convergence of a sequence of averages of a convergent sequence
  • Eclair_de_XII
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1
Undergrad Why the integral of a differential does not give the function back in 2D?
  • jk22
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14
Undergrad From a proof on directional derivatives
  • Delta2
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9
Undergrad Dirac Delta, higher derivatives with test function
  • mishima
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9
Continuity Problem: Solutions & Resources
  • DaalChawal
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3
How Large Can This Integral Be?
  • DaalChawal
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1
Undergrad Differentiation formula: Is this a typo?
  • maistral
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5
Undergrad Creating a function with specific shape, intercepts, integral....
  • newjerseyrunner
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1
Graduate How to conclude a mathematical expression with the provided background
  • mcastillo356
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17
High School Why Can Derivatives Be Treated Like Fractions in Solving Equations?
  • NoahsArk
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32
Undergrad Prove series identity (Alternating reciprocal factorial sum)
  • uart
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4
Is the Limit of Sin x/x=1 Proven in Elementary Calculus?
  • agapito
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3
Undergrad Why is this closed line integral zero?
  • kmot
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8
Graduate Understanding Integrating Lambda with l1(y) and l0(y)
  • Ad VanderVen
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7
Proof that lim loga_n/n = 0 in epsilon delta language
  • arsenaler
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11
Undergrad Understanding a quote about implicit differentiation
  • mcastillo356
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4
Undergrad Understanding the basic concept of a Limit
  • nycmathguy
  • · Replies 26 ·
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26
Graduate Optimization with integers as results
  • maistral
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3
Undergrad Basic question about variational calculus
  • Kashmir
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8
High School What Is the Meaning of $\frac{d}{dx} \frac{dy}{dx}$?
  • askor
  • · Replies 10 ·
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10
Insights Investigating Some Euler Sums
  • Svein
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0
Undergrad Index and bound shift in converting a sum into integral
  • Alex_F
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6
Undergrad Integral representation of incomplete gamma function
  • patric44
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3
7.8.11 Find amplitude, period, PS, VS. graph 2 periods
  • karush
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3
Integration Doubt: Answers & Solutions
  • DaalChawal
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2
Shortcuts for Solving Multiple Integrals: Is There a Faster Way?
  • DaalChawal
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2
Undergrad Prove Complex Inequality: $(|z_1 + z_2| + |z_1 - z_2|)(|z_1| + |z_2|)>=\sqrt{2}$
  • siddjain
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2
Calculating $2\sqrt{2}$ to Infinity
  • maxkor
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7
Undergrad An attempt to find the total differential of a two-variable function
  • Kashmir
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6
Undergrad Definition of Limit for vector fields
  • Kashmir
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6
S5.t.5 Find domain and asymptotes.
  • karush
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3
How Does Exponential Growth Affect a Bacterial Population?
  • Tineeyyy
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1
Definite integral involving sine and hyperbolic sine
  • MountEvariste
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4
Solve $2+5\ln{x}=21$: Find $x$
  • karush
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5
High School I want to smooth this function plot
  • adan
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15
High School How can y be written as a function of x?
  • Ad VanderVen
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5
How Does Newton's Law of Cooling Apply to a Roast Turkey?
  • Tineeyyy
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2
Graduate Fourier Transform of an exponential function with sine modulation
  • tworitdash
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5
Undergrad How do I find the expected value and median of a probability density function?
  • khansen9
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2
Solve $2\cos^2(x)=1$: Find $\theta$
  • karush
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7
Don't solving this problem, just need some info.
  • Nate Learning
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4
Undergrad How Can the Logit Function Be Modified for a Specific Output Range?
  • adan
  • · Replies 8 ·
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8
Graduate Could this be a Perfect Euler Brick?
  • alpha_michi
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10
Undergrad Series for coth(x/2) via Bernoulli numbers
  • Oppie
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2
-apc.3.3.01 Find the equation of the curve that passes through the point (1,2)
  • karush
  • · Replies 11 ·
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11
Integration Help: Struggling with Distance Qn
  • jwright13
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4
Fourier Series involving Hyperbolic Functions
  • Sharya19
  • · Replies 9 ·
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9
High School Is the level-set for a given function unique?
  • Eclair_de_XII
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2
Mechanics- general motion in a straight line.
  • Shah 72
  • · Replies 2 ·
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2
Undergrad Solving an Integral using Feyman's trick
  • Flamitique
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8
High School Second derivative and inflection points
  • i_love_science
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2
What is the definition of a negative infinity limit?
  • RubroCP
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1
Undergrad How can we define a limit approaching negative infinity?
  • RubroCP
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11
-apc.4.2.9 graph of f(x) to g(x)
  • karush
  • · Replies 8 ·
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8
-apc.2.1.06 crosses the x-axis at one point in the interval [0,1]
  • karush
  • · Replies 4 ·
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4
High School Second derivatives and inflection points
  • keroberous
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5
Finding the Derivative of the Inverse Function of a Cubic Polynomial
  • karush
  • · Replies 5 ·
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5
What Is the Derivative of \( y = x \sin x \)?
  • karush
  • · Replies 1 ·
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1
Equation for tangent of the curve
  • juliehellowell
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1
Undergrad What is the indefinite integral of Bessel function of 1 order (first k
  • AhmedHesham
  • · Replies 5 ·
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5
Graduate Limits of Taylor Series: Is $\sin x=x+O(x^2)$ Correct?
  • LagrangeEuler
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2
Undergrad Proving the Finite Binomial Series for k Non-Negative Integer
  • Adrenaline101
  • · Replies 9 ·
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9
High School Difficulty with understanding whether 1/n converges or diverges
  • Travis Enigma
  • · Replies 11 ·
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11
Undergrad Why is (N dot N) different for magnitude than for X, Y, Z components?
  • bumblebee77
  • · Replies 22 ·
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22
Does anyone know the answer (s) to this?
  • Jimmy Perdon
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2
Undergrad Can Lagrange multipliers be used to find a function?
  • jk22
  • · Replies 13 ·
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13
Graduate Why Is the Rayleigh Sommerfeld Integral Challenging to Compute Directly?
  • chiraganand
  • · Replies 4 ·
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4
Optimizing Profit with Three Points: A Scientific Approach
  • xNICK1
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7
Limit of a Sequence (Updated with progress)
  • slwarrior64
  • · Replies 2 ·
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2
Why Does dy/dt Equal Zero at the Endpoint of the Minor Axis?
  • zimsam
  • · Replies 5 ·
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5
Does anyone know the answer to this?
  • Jimmy Perdon
  • · Replies 1 ·
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1
High School Is this a valid proof for the Extreme Value Theorem?
  • Eclair_de_XII
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14
Undergrad Understand the delta rule increment in gradient descent
  • fog37
  • · Replies 18 ·
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18
High School Proving the Existence and Value of a Derivative at a Point
  • Eclair_de_XII
  • · Replies 11 ·
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11
Undergrad Partial Derivative of Convolution
  • jstop
  • · Replies 2 ·
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2
Bird Flying Speed at 10m Altitude
  • Jimmy Perdon
  • · Replies 2 ·
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2
Sequence Challenge: Prove $a_{50}+b_{50}>20$
  • anemone
  • · Replies 1 ·
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1
Undergrad Problem with function approximation
  • boniphacy
  • · Replies 12 ·
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12
Undergrad Is there a way to simplify this integral involving an exponential function?
  • BillKet
  • · Replies 6 ·
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6
Undergrad Math Myth: ##0.999999999.... =0.\bar{9}= 1##
  • Greg Bernhardt
  • · Replies 14 ·
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14
Undergrad Integral involving exponential
  • stevendaryl
  • · Replies 9 ·
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9
High School Helping a 5-Year-Old Integrate a Function in Kindergarten
  • docnet
  • · Replies 1 ·
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1
Undergrad What is the true meaning of a tangent in mathematics?
  • Greg Bernhardt
  • · Replies 1 ·
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1
How can I integral this problem?
  • Another1
  • · Replies 1 ·
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1
Linear combination of sine and cosine function
  • anemone
  • · Replies 3 ·
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3
Insights Computing the Riemann Zeta Function Using Fourier Series
  • stevendaryl
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5
Undergrad Could this function be approximated by Dirac delta function?
  • Haorong Wu
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2
Is the Limit of 1/(x^2 - 9) as x Approaches -3 from the Left Positive Infinity?
  • nycmathdad
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5
High School Learn 0^0 w/ Young Aussie of the Year: Calculus & Real Analysis Explained
  • bhobba
  • · Replies 14 ·
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14
Graduate Difficulties with derivative of a vector [Landau Textbook]
  • GrimGuy
  • · Replies 3 ·
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3
High School Simple Derivation Of Euler's Formula And Applications
  • bhobba
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2
High School Are continuous functions on sequentially compact sets u-continuous?
  • Eclair_de_XII
  • · Replies 18 ·
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18