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GEMIDDELD: Valbeweging van een balletje
Draft
Question in Panamaconferentie by Alexander Holvoet and 1 other

1) Schrijf een modeloplossing. Houd rekening dat je bij randomisatie dit anders zal moeten schrijven.

2) Randomiseer de snelheid, en controleer welke effecten dat heeft op de andere variabelen.
Numbas demo: Motion under gravity
Ready to use
Question in Demos by Christian Lawson-Perfect

Customised for the Numbas demo exam

Motion under gravity. Object is projected vertically with initial velocity $V\;m/s$ . Find time to maximum height and the maximum height. Now includes an interactive plot.
Julie's copy of Second order differential equations 1
Draft
Question in Julie's workspace by Julie Crowley

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1$ and $y'(0)=c$ .

rebelmaths
Julie's copy of Second order differential equations 2
Draft
Question in Julie's workspace by Julie Crowley

Method of undermined coefficients:

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+a^2y=0,\;y(0)=c$ and $y(1)=d$ . (Equal roots example). Includes an interactive plot.

rebelmaths
Second order ODE with constant coefficients and boundary conditions
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1$ and $y'(0)=c$ .
Solve a second order ODE with repeated roots,
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+a^2y=0,\;y(0)=c$ and $y(1)=d$ . (Equal roots example).
Julie's copy of Second order differential equations 5
Draft
Question in Julie's workspace by Julie Crowley

Find the general solution of $y''+2py'+(p^2-q^2)y=x$ in the form $Ae^{ax}+Be^{bx}+y_{PI}(x),\;y_{PI}(x)$ a particular integral.

rebelmaths
Second order differential equations - sine forcing
Ready to use
Question in Daniel's workspace by Daniel Nucinkis

Find the general solution of $y''+2py'+(p^2-q^2)y=A\sin(fx)$ in the form $A_1e^{ax}+B_1e^{bx}+y_{PI}(x),\;y_{PI}(x)$ a particular integral. Use initial conditions to find $A_1,B_1$ .

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