A solution to y"-4y'+4y xe+ 2x is O A. y = xe* -2x O B. y = xe" O C. y= e* OD. y= xe 2x * None of them O E.

Q: 3 Find y" for y = 5 + y" =D

A:

Q: If the substitution u = √x + 1 is made, the integral 3 A S u² u² - 1 du B du 3 2u²2 u² - 1 √ √x+1 dx…

A: We solve the given problem by using the substitution method.

Q: y" + 3ry – y = 0

A:

Q: Find (e3x + 5sinx)dx. -e3x +5cosx +C O a. 3 e3x+1 -5cosx + C b. 3x + 1 e3x -5 cosx + C OC. -e3x -…

A:

Q: (1+ ye* + xye")dx + (xeª +2)dy = 0 C = xye + 2y + x C = xye" + 2y – x O Option 3 Option 2 C = xye –…

A:

Q: 33.) Show all steps to evaluate by hand: 4-х2 Vx2 + y2 dy dx

A: We have to evaluate the double integral using polar coordinates

Q: x²-x 2)) S dx =? |x-1|

A:

Q: 6. Find a line parallel to 3x - 2y = - 4 and passes through (4,-2)

A: We know if lines are parallel then slopes are equal  Given line equation is 3x-2y=-4

Q: rcosck) X)= 2メ+ hca) + ě Uf)→ at メ=3 @ fiw) = O (fuda (x)

A:

Q: 4x -4 dx a. b. dx 5-4x c. St Vtz +2 dt

A:

Q: 5. а. ³(1 + t4)³ dt

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.