Determine whether each first-order differential equation is separable, linear, both, or neither. 1. +=x2y2 2. y+sinx=x3y′ 3. lnx−x2y=xy′ 4. +cosy=tanx

a) Linear

b) Linear

c) Linear

d) Neither

See explanation below.

Step-by-step explanation:

a)

For this case the differential equation have the following general form:

Where and and since n>1 we can see that is a linear differential equation.

b)

We can rewrite the following equation on this way:

For this case the differential equation have the following general form:

Where and and since n=0 we can see that is a linear differential equation.

c)

For this case we can write the differential equation on this way:

For this case the differential equation have the following general form:

Where and and since n=0 we can see that is a linear differential equation.

d)

For this case we can't express the differential equation in terms:

So the is not linear, and since we can separate the variables in order to integrate is not separable. So then the answer for this one is neither.

687.09 dollars       happy now

step-by-step explanation: 6870

1857 times .63 equals 1169.91 subtract that from 1857 you get 687.09

is should be y = 5x

step-by-step explanation:

correct me if im wrong