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First order differential equations 8
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Question in Bill's workspace by Bill Foster

Solve for $x(t)$ , $\displaystyle\frac{dx}{dt}=\frac{a}{(x+b)^n},\;x(0)=0$
Limiting speed given acceleration function,
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

An object moves in a straight line, acceleration given by:

$\displaystyle f(t)=\frac{a}{(1+bt)^n}$ . The object starts from rest. Find its maximum speed.
Separable first order ODE with boundary condition
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Solve for $x(t)$ , $\displaystyle\frac{dx}{dt}=\frac{a}{(x+b)^n},\;x(0)=0$
Julie's copy of First order differential equations 5
Draft
Question in Julie's workspace by Julie Crowley

Find the solution of $\displaystyle x\frac{dy}{dx}+ay=bx^n,\;\;y(1)=c$

rebelmaths
Julie's copy of First order differential equations 4
Draft
Question in Julie's workspace by Julie Crowley

Find the solution of $\displaystyle \frac{dy}{dx}=\frac{1+y^2}{a+bx}$ which satisfies $y(1)=c$

rebelmaths
Julie's copy of First order differential equations 1
Draft
Question in Julie's workspace by Julie Crowley

Solve 4 first order differential equations of two types: $\displaystyle \frac{dy}{dx}=\frac{ax}{y},\;\;\frac{dy}{dx}=\frac{by}{x},\;y(2)=1$ for all 4.

rebelmaths