Consider the initial value problem for the function $y,$

$y^{\text{'}}-3\frac{cos(3t)}{y^2}-3\frac{t^2}{y^2}=0,y(0)=1$

$($a$)$ Find an implicit expression of all solutions $y$ of the differential equation above, in the form $(t,y)=c,$ where $c$ collects all constant terms. $($So$,$ do not include any $c$ in your answer.$)$

$(t,y)=$

$$

$($b$)$ Find the explicit expression of the solution $y$ of the initial value problem above.

$y(t)=$

$$

Consider the initial value problem for the function $y,$

$y^{\text{'}}-3\frac{cos(3t)}{y^2}-3\frac{t^2}{y^2}=0,y(0)=1$

$($a$)$ Find an implicit expression of all solutions $y$ of the differential equation above, in the form $(t,y)=c,$ where $c$ collects all constant terms. $($So$,$ do not include any $c$ in your answer.$)$

$(t,y)=$

$($b$)$ Find the explicit expression of the solution $y$ of the initial value problem above.

$y(t)=$

$$

Consider the initial value problem for the function $y,$

$y^{\text{'}}-3\frac{cos(3t)}{y^2}-3\frac{t^2}{y^2}=0,y(0)=1$

$($a$)$ Find an implicit expression of all solutions $y$ of the differential equation above, in the form $(t,y)=c,$ where $c$ collects all constant terms. $($So$,$ do not include any $c$ in your answer.$)$

$(t,y)=$

$($b$)$ Find the explicit expression of the solution $y$ of the initial value problem above.

$y(t)=$

$$

Consider the initial value problem for the function $y,$

$y^{\text{'}}-3\frac{cos(3t)}{y^2}-3\frac{t^2}{y^2}=0,y(0)=1$

$($a$)$ Find an implicit expression of all solutions $y$ of the differential equation above, in the form $(t,y)=c,$ where $c$ collects all constant terms. $($So$,$ do not include any $c$ in your answer.$)$

$(t,y)=$

$($b$)$ Find the explicit expression of the solution $y$ of the initial value problem above.

$y(t)=$

$$