Question

Some DiffEQ to give people a flash of light out of HS math? (For fun, I don't need help on it haha)

Find Y

t*y' + 2y = t^2 - t - 1

Answer 1

Is that y to the 1?

Answer 2

y prime

Answer 3

this one is too fun
its a linear differentiation equation
y'+py=q
i would divide both sides by t
then multiply by a v such that v'=vp
then use separation of variables to find what v is
then write left hand side as (yv)'
then integrate both sides

Answer 4

\[y=\frac{c_1}{t^2}+\frac{1}{12} \left(3 t^2-4 t-6\right) \]