Solve the initial-value problem y = 24 – 3yy(1) = 1.

Step-by-step explanation:

Assuming that the equation is with initial condition . We have,

, hence we can say that and in the general form of the first order linear differential equation:

The integrating factor is given by:

. Thus, multiplying the entire equation by the integrating factor:

. This means that:

then

. Applying the initial condition:

and therefore,

Assuming that the equation is with initial condition . We have,

, hence we can say that and in the general form of the first order linear differential equation:

The integrating factor is given by:

. Thus, multiplying the entire equation by the integrating factor:

. This means that:

then

. Applying the initial condition:

and therefore,

1) angle MPN = angle MNT | Given

2) angle PMN = angle PMN | Common angles

Step-by-step explanation:

Therefore, by the AA theorem of similarity angle PMN = angle NMT