y(1) = For the I.V.P. dy 3 y where y(0) = -4 then the value of dz y(1) = 3 7e O y(1) 3- 7e O y(1) - 2- 6e O y(1) – 2-6e'O

Q: 1. y = x* – 2x3 + 5x? – 4, find y*

A: As there are multiple questions, first one is solved here.

Q: 7. Find d²y dx² from y = √√x- =√x-²/2

A:

Q: Solve the equation (2x + 6) (2y² + 3) dx + 4y(x² + 3x + 2) dy = 0 %3D

A: 2x+62y2+3dx+4yx2+3x+2dy=0

Q: 10. (D² – 6D + 9)y = e3x

A: Given, D2-6D+9y=e3x To solve the above differential equation.

Q: = 4 and y = 2x, what is the value of

A:

Q: (x-2)² + (y+1)² =16, find- A. 16 (y+1)³ d²y dx² B. 16 (y +1)³ C. 16 y³ D. 16(x-2)² (y+1)³

A:

Q: correct

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

Q: f(x y, z) = x2 - 8y5 + z -4. Find (-3, 1, 5) for O a 1 O b -4 10 O d -5

A:

Q: of Find (1.-7) if f(x.y) = 2x2 + 4xy - 5y? + 4x - 9y - 9. dx of (1, -7)-O (Simplify your answer.)

A:

Q: If s = (x² + 1)²/3 (3y² + 8y +4) 4(3z+2) 5, find d²s d²s dy² d²s dz²

A:

Q: Eliminating the parameters for x = 3t - 4 and y = 5 — t yields y = x - 10 3 True False .

A: Given parametric equations:- x=3t-4 and y=5-t

Q: -7 -5 | g(x) dx = -5 and | g(x) dx = 8,

A: Given,                      ∫2-7g(x)dx=-5   and   ∫25g(x)dx=8then         ∫-75g(x)dx=?

Q: 7 dx 2. 1 x + 1

A:

Q: ketch the region R and evaluate the i x2y? dx dy

A: Here we have to sketch the graph of the region I=∫09∫13yyx2y2dxdy Here 13y≤x≤y and 0≤x≤9.

Q: . (2,-3, 4), x + 2y + 2z = 13 %3D

A:

Q: ... 4 B = (-1,4) A A = (1,0.25) %3D -4 -3 -2 -1 2 3 4 5 A y= - 4× y=4-x O f(x) =| D y=4•1*

A: We want to find the equation of given curve.

Q: If y 0 then 25y2- 9y? V25y2 -9y2 O 16y 04y O4y?

A:

Q: 3 4. S (x+3) z²+1 5 dx dar.

A: As per bartleby guidelines we only give first question answers. Please repost for other parts.

Q: What value of c will satisfy y(x) = c(1 – x²) given y(0) = 1? 2 O Option 1 Option 2 3 Ontion 3…

A: Let's find.

Q: L do IP 주 (x-sy)(2ty-2) +3t(y+x). (2 tx+5) (2ty-2) + 9t2 x (0) = 0.2 (2txts) (+3x)-3t (2²_3y)…

A:

Q: dy If dz 3x - 3 and y(0) = 8, then y(1) %3D ---

A:

Q: 12. 3c-2 C с2 -4c c-4 -1

A: We can solve the given problem by using cross multiplication method.

Q: What value of c will satisfy y(x) = c(1 – x²) given y(2) = 1 ? %3D ) Option 1 Option 2 2.

A:

Q: 1 2. S- 9y²+64 dy

A: Given: The integral is ∫19y2+64dy. Evaluate the integral.

Q: 3.ƒ _(x−1)² dx √x

A:

Q: (D2 - 3D + 2)y=e5x, Find Y = Yc + Yp O a. O b. O C. O d. C₁e* + C₂e² + 1 2r 12 e -X C₁e + C₂…

A:

Q: Find the slope of the line that is tangent to the graph of f (x) 2a-3 at P(3/2, 0) О -3/4 O 2 O (E)…

A:

Q: Sy-10 y²-4y+11 2. S dy

A:

Q: - 3-z2-y 2. Evaluate L* L z dz dy dx -5+x²+y²

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.