Divergence of vector fields.

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

Solve for $x(t)$, $\displaystyle\frac{dx}{dt}=\frac{a}{(x+b)^n},\;x(0)=0$

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Gradient of $f(x,y,z)$.

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.

Gradient of $f(x,y,z)$.

Chain rule

No description given

An introduction to using the quotient rule

Chain rule

Introduction to using the product rule

An introduction to using the quotient rule

Introduction to using the product rule

Introduction to using the product rule

No description given

No description given

No description given

Solve a Differential equation with a repeated linear factor

Solve a Differential equation with a repeated linear factor & a delta function

Solve a Differential equation with 3 simple linear factors

Solve a Differential equation with a repeated linear factor

Solve a Differential equation with a  simple irreducible quadratic factor

No description given

No description given

An introduction to using the quotient rule

Introduction to using the product rule

Critical points, absolute minimum, local maximum and minimum points, increasing and decreasing, concavity

rebel

rebelmaths

Critical points, absolute minimum, local maximum and minimum points, increasing and decreasing, concavity

rebel

rebelmaths