differential eqaution

i/1 =

-i

i^-1

-i

i =

sqrt( -1 )

i²

1

2 distinct pos real eigen val

Nodal source

1 pos 1 neg real eigen val

saddle

2 neg real eigen val

nodal sink

0 and pos real neg val

0 and neg real neg val

pos real + imaginary val

spiral out

neg real + imaginary val

spiral in

only imaginary num

circle

diagonal pos = eigenval

unstable proper node

diagonal neg = eigenval

stable star node

= pos vals

unstable improper node

= neg vals

stable improper node

L{1}

1/s

L{t}

1/s²

L{t²}

2/s³

L{tⁿ}

n!/sⁿ⁺¹

L{e^at}

1/s-a

L{sin(bt)}

L{cos(bt)}

L{e^-atsin(bt)}

L{tsin(bt)}

L{tcos(bt)}