Find the solution of the separable equations a) the general solution: displaystyle dy/dt = t/[y^2] b) the unique solution to: dy/dt = 1/y such that if x = 3 then y = 1.

(a) The general solution of given differential equation is .

(b) The unique solution is .

Step-by-step explanation:

(a)

The given differential equation is

Use variable separable method, to solve the above differential equation.

Separate the variables.

Integrate both sides.

The general solution of given differential equation is .

(b)

The given differential equation is

Use variable separable method, to solve the above differential equation.

Separate the variables.

Integrate both sides.

           ... (1)

It is given that y=1 at t=3. Substitute y=1 and t=3 in the above equation.

Substitute in equation (1).

Therefore the unique solution is .

answer: i don't understand it

step-by-step explanation: sorry

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step-by-step explanation: