Applied Mathematics

Problems related to numerical analysis, optimization, mathematical modeling, etc.

Problems in this category

The problem asks to use equilibrium equations to find support reactions. The equilibrium equations g...

StaticsEquilibriumSupport ReactionsFree Body DiagramMomentsForcesStructural Analysis
2025/5/15

We are given a second-order linear homogeneous differential equation $y'' + 4y = 0$ with boundary co...

Differential EquationsSecond-order Linear HomogeneousBoundary Value ProblemInitial Value ProblemOrdinary Differential Equations
2025/5/14

We are given a system of linear differential equations: $x' = x + 2y$ $y' = x$ with initial conditio...

Differential EquationsLinear Differential EquationsInitial Value ProblemSecond-Order Differential EquationsCharacteristic EquationSystem of Differential Equations
2025/5/14

We are given the second-order linear homogeneous differential equation $y'' + 4y = 0$ with boundary ...

Differential EquationsSecond-Order Differential EquationsBoundary Value ProblemTrigonometry
2025/5/14

The problem states that a student takes 8 seconds to solve a problem, correct to the nearest second....

RoundingError AnalysisInequalitiesReal Numbers
2025/5/14

The problem describes an RL circuit with a voltage source, a resistor, and an inductor. The given va...

RL CircuitDifferential EquationsElectrical EngineeringTime ConstantCurrentExponential Decay
2025/5/13

The image presents three statics problems involving forces and angled supports. The task is to analy...

StaticsForcesEquilibriumFree Body DiagramsTrigonometry
2025/5/13

The image shows a table with calculations. The goal is likely to understand the calculations being p...

StatisticsProbabilityData AnalysisNormal DistributionStandardization
2025/5/12

The problem describes an RL circuit with a voltage source, resistor, and inductor. We need to find (...

RL CircuitElectrical EngineeringDifferential EquationsTime ConstantExponential Decay
2025/5/12

The image contains several chemistry problems in Khmer. I will solve question V (20 points). Given a...

ChemistrypH CalculationBuffer SolutionsMolarityEquilibriumAcid-Base ChemistryLogarithms
2025/5/12