/sci/ - Science & Math

[Anonymous No.5664879]

Hi /sci/, I've gotten two particular solutions for:
<span class="math">\frac{d^{2}y}{d^{2}t}+{\omega_0}^2{y(t)}={F_0}cos({\omega}t[/spoiler]
<span class="math">\frac{d^{2}y}{d^{2}t}+{\omega_0}^2{y(t)}={F_0}cos({\omega_0}t[/spoiler]

The particular solutions are:
<span class="math">Y(t)=\frac{F_0{cos({\omega}t)}}{{\omega_0}^2-{\omega}^2}[/spoiler]
<span class="math">Y(t)=\frac{F_0{t{sin({\omega}t)}}}{2\omega_0}[/spoiler], respectively

Could someone please explain me what the solutions means in terms of physics?

[Anonymous No.5664882]

OP here,
the unknown control..... is <span class="math">Y(t)=\frac{F_0{cos({\omega}t)}}{{\omega_0}^2-{\omega}^2}[/spoiler]

[Anonymous No.5664883]

>>5664882
<span class="math">Y(t)=\frac{F_0{cos({\omega}t)}}{{\omega_0}^2-{\omega}^2}[/spoiler]

[Anonymous No.5664890]

>>5664883
<span class="math">Y(t)=\frac{F_0{cos({\omega}t)}}{{\omega_0}^2-{\omega}^2}[/spoiler]

[Anonymous No.5664894]

>>5664890
<span class="math">Y(t)=\frac{F_0{cos({\omega}t)}}{{\omega_0}^2-{\omega}^2}[/spoiler]

[Anonymous No.5664895]

fml