problem tˇ4 + 4t²y = e−¹ for t < 0 and y(-1) = 0. dt Seper4. Solve the differential equation y' + y² cosx = 0. 5. Solve the initial value problem dx = xy³ (1+x²)-1/2 and y(0) = 1. Seperable 2.6 dy dx 6. Questions (a) and (b) below refer to the differential equation x siny using 1 ܶ x

Q: w + 4 w + 10 6. 8.

A:

Q: 4s +5 S -4

A:

Q: 2/7 + -4/3

A: Given,

Q: (4) y=x +4 -5 -4 -3 6.

A: The given equation is: y=x+4

Q: 2/7,545

A:

Q: (1-2=) dr

A:

Q: 2/5+4/8

A: We have to find the sum

Q: 3 1/4 + 7 1/8

A:

Q: -2- 4- 3 10

A:

Q: +2 1/2 215

A:

Q: V81x6 V3x3

A: Given expression is:  81x63x3 =81x63x3=27x6-3

Q: 6/7-2/3

A: our objective is to find the difference.

Q: 1+7/7 + 8

A: Answar would be 10

Q: 5 3 + s2-8 s2+ 3.

A:

Q: 0 1 2 4 0 2 4 0 0 3 9 12

A:

Q: 2(3+d-1)

A: Solve the given expression  given expression is 2(3+d-1)

Q: -2(5a)

A: To evaluate-2(5a)

Q: 3. Find L-¹{√534}. (s+3)

A:

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: V415

A: Given query is to find the square root of 415.

Q: (24) Half the product of a number t and 48

A: The objective is to half the product of a number t and 48.

Q: 10. 3 + Зу- 1 + у

A: Given that                     3+3y-1+y Now we simplify this.                           3+3y-1+y…

Q: X5 y / x4 y6

A: Given: x5yx4y6

Q: 4 1/2 + 3 2/3=

A: Given,

Q: 1+4+6+8

A:

Q: 2

A:

Q: 8y3 + 216

A:

Q: -3 -2 -1 1 2 0000000 3.

A:

Q: -4 -2- 4 8

A: We are asked to find the horizontal asymptote and vertical asymptote. Horizontal asymptote (HA) - It…

Q: -2 -4 and D = 4 8

A: