What is expand ty''(t)+(3t-1)y'(t)-(4t+9)y ?

The solution to expand ty''(t)+(3t-1)y'(t)-(4t+9)y is ty''(t)+3ty'(t)-y'(t)-4ty-9y

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expand ty''(t)+(3t-1)y'(t)-(4t+9)y

expand

t y^{''} (t) + (3 t - 1) y^{'} (t) - (4 t + 9) y

t y'' (t) + 3 t y' (t) - y' (t) - 4 t y - 9 y

Solution steps

t y^{''} (t) + (3 t - 1) y^{'} (t) - (4 t + 9) y

Expand

y^{'} (t) (3 t - 1) : 3 t y^{'} (t) - y^{'} (t)

= t y^{''} (t) + 3 t y^{'} (t) - y^{'} (t) - (4 t + 9) y

Expand

- y (4 t + 9) : - 4 t y - 9 y

= t y^{''} (t) + 3 t y^{'} (t) - y^{'} (t) - 4 t y - 9 y

32 (t - cos (t))

\frac{6 x ^{2} + 8}{( x ^{2} - 4 ) ^{3}}

\frac{2}{x ^{2} ( x + 3 )}

(2 x - 4) e^{x^{2} - 4 x}

\frac{6 s ^{2} + 5 s + 3}{( 3 s + 2 ) ( s ^{2} + s + 1 )}

What is expand ty''(t)+(3t-1)y'(t)-(4t+9)y ?
The solution to expand ty''(t)+(3t-1)y'(t)-(4t+9)y is ty''(t)+3ty'(t)-y'(t)-4ty-9y