Solve the initial value problem -7 4 y' = | y(0) = |2. | У, -6 7 -4 |

Q: Find *: (a) 4x°y³ + 2x³y-y-2x-4 0. %3D

A: Given  4x5y3 + 2x3y - y - 2x - 4 = 0 We have to find dydx.

Q: Y₁' = 3Y₁ + 1/₂ ل3 Y/₂ = 2y + 2y₂

A:

Q: f(x) > 0 7+ 6+ 5+ Select one: O a. (-00, 3) O b. (3, 4) O c. (3,00) O d. [3, 4] 3+ -8 -7 -6 -5 -4 -3…

A: since from graph it clear that  f(x)>0 means f(x) is positive for the   interval  range…

Q: 7-Solve equation. x-5/x2+1/x=6/x

A: This is a problem of cubic solution.

Q: Solve for X. X = 288 -7 8 -2-4 3X +4 2 -6 -6

A: We have to find .

Q: Solve x = - " 3x x 3x y= 4y + 2z у + 2y || || || 4 2 2 11 с

A:

Q: if z1 = i and z2= -(3)^0.5– i find the arguments for the quotient

A:

Q: Find / (+52 + 4) dz 5x x6

A: Given integral: We have to evaluate the given integral.

Q: • 4 13х + 12 -dx x2 + 3x 3

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

Q: of the 7x - 9x-2

A: We have to choose the correct answer from the given options

Q: Two points that lie on the line 5x-3y = 15 are (3, 0 O (5, -3) O (5,3) O (0,5) 0 (0, -5)

A:

Q: Solve 1 0-430 = x (0) = -3, y(0) = 1181-0 = = -5 + 18

A:

Q: Solve y -x + 2y z = ++ W W 2z+ -Z + W 3z + 5w W 1242 2 4 = 2

A: To solve the equation.

Q: The equation in the form Ax + By = C (-6,3) and (0,-2)

A:

Q: c) rx+qx-d3 ge (e) zx 5g(2x-c)

A: Use basic algebra

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.