2.Linean ectuation 4-L4y-3x)dX+5Xdy=o 5.

Q: 1) Use the Substitution Method to find f 12x (3x² + 4) dx . O 20(3x^2+4)^10 +C O 0.2(3x^2+4)^10 +C…

A: The given integral is 12x(3x2+4)9.

Q: { 2z + y = 4 Ty = dz +1 9.

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: 6. |x²e-2*dx

A: Solved below

Q: 4) 6x + 2y = -7 4x – 4y = 22 ofthe ear and their

A: Given equation

Q: 12) x+(6x + 5)___dx √√x6 + x³ + 5 S

A:

Q: If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

A: Find the derivative of the given function.

Q: f|A| = 9 and |B| = 3, what is |AU B| + |An B|?

A: Given: A=9 and B=3. To find: A∪B+A∩B Formula Used: The relationship between the union and…

Q: raically 7) 2x 3 +16x² = 40x %3D

A: We subtract 40x then factor out GCF 2x.

Q: • 4 13х + 12 -dx x2 + 3x 3

A: ∫3413x+12x2+3x-4dxApplying completion of squares:=∫3413x+12x+322-254dxSubs u =…

Q: 5. Evaluate 3x 4e³x -dx 3x e³x +1 S-

A: given integration ∫ 4e3xe3x+1dx

Q: 9.

A: Given,  y=2x+x4-9x+3

Q: EVALUATE THE FOLLOWING: 1. S(5x5-6x + 2x +55)dx (5x-4x*+7x)dx 3. SV5X+7 dx

A: (1).                                ∫5x6 -6x4 + 2x+ 6dx…

Q: 0.2x + 0.3y 2 7.5 2.9x - 6.2y s 0

A: Given inequalities are,

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.