16 -18 da dt 12 -14 with the initial value -14 x(0) -11 a(t) :

Q: Evaluate L-1{ -(-e¯™s+4T8+ 2+1

A:

Q: If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: Lim (x-2x) X>-1

A: Limit of a function at a point is the value the function tends to as we approach that point. Limit…

Q: X(35X [En(x) ? dx

A:

Q: (22) Let A = (-∞, -2] and B = (102, ∞).

A: Given A=(-∞, -2] , B=(102, ∞). Now, the union of two sets consists all those elements that belong to…

Q: Ex: evaluate 1 203 (1- 3 (1 – t)0.9 dt 0.

A: Explanation of the solution is given below...

Q: Evaluate X dp- (х -1)(2х -1)

A:

Q: xx X1+iy,=X2+iy20 2 X =X y= OךX

A: In the given question we have to choose the correct option from the given options  Concept: two…

Q: 14-t2 dt

A:

Q: 6. (x – 1

A:

Q: 2x (i) da 1+z?

A:

Q: x2 (4) Calculate the result of the equation Having x= 0 , 1 , 2 /5+ x

A:

Q: 2x-3 Let f(x)= Compute (1 -i/2). (1 – i/2)=

A:

Q: [o A = 2 -1 and C = 1 .2 2 -1 -1 AT + 3CT

A:

Q: (125/11+2i)x+(1-i)(1+i)y=11

A: Solve, as follows:

Q: dx 1. (x-3)(x-2)

A: Given I=∫1x-3x-2dx To evaluate the integral I:

Q: 1 da (2a + 1) +1) 1. 8.

A:

Q: 1 Evaluate (31-i)² dt 0

A:

Q: 1/3y+1=1/2y-3

A: We have to find value of y for 1/3y+1=1/2y-3

Q: h (1) compul- kor(0) for

A:

Q: A=x+1+z Find z

A: Transfer other things to the left hand side

Q: 1) (x² +3x-6)+(x+1)

A:

Q: y' = X 2 h

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.