a) f(x)=−3x b) f(x)=3x+1 c) f(x)=3x d) f(x)=x3 e) f(x)=3−x

Q: Find the real valued general solution of y" + 5y = 0. %3D

A:

Q: Ⓒ Solve зик subject to + 2x x = 0 u(x,0) = in Rx [0,00) n(x)

A:

Q: 3) Evolvate Ci(0) e²/z dz е

A:

Q: (a) 3 Differentiate y= y 3= us ing first principle. 2x+2

A: we are allow to do one question at a time  if you rest of answere please specify that part and…

Q: 8x²y" + 10xy' – (1+ x)y = 0

A:

Q: = x² – 6x + 13, y = Inx, x = 1 ve x = 5

A:

Q: 9. y = x – 5x+52) 21n10. y = 2r2 11. f(x) = 12. f(x) %3D x² +x- 6 15x2 +31x + 1 13

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Solve the linear system

A: 2x+3y=4x+2y=3over Z7

Q: Solve the dff oq 2. 3. 3. %3D 1

A:

Q: Solve the problem: max/min U = xy subject to x2 + y2 2 %3D

A:

Q: 6x + 16y af If f(1, y) then is : 6x 16y ду

A:

Q: Solve Ytt = = 4yxx 0 0 Yx(0, t) = 0, Yx(1, t) = 0, Y (x, 0) = 0, y(x, 0) = 3cos(2nx)

A:

Q: What is the particular solution for y′=−2e^x−3x^2+x−4 such that y(0)=1?

A:

Q: П. Solve xау + (3х 2y)ax = U in two ways

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: I have equation 3x(y-x)=0. Is it true that x here is equal to 0 and y is equal to x? How can I show…

A: To check:  Whether x here is equal to 0 and y is equal to x. Given information: The equation is…

Q: (1+ 2.x² þ" – 4.xy' + 4y=0 yı(x) = x

A:

Q: What is the counterexample of x+x>x ?

A:

Q: 9-x2 18-22-y2 (x2 + y² + z²) dz dy da? 3 0. x²+y2

A:

Q: If x, y belongs to Z prove that the equation x^2+4x-8y=11 has no solution

A: The given equation is, -----(1)

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: 3. /4(1-)esc (1-y)dy

A: We have to solve the integral

Q: Show that y %3D Cіx-1 + С2х + Cзlnx + 4x2 is a solution to x3y" + 2х?у" — ху' + у %3D 12х?.

A:

Q: 2- X-J =(M(404) 3x उ्रुफट (X) %3D gu) =x°-8e

A:

Q: What is the general solution of xy(xy5 −1)dx + x²(1 + xy5) dy=0 ? A 2x³y³-3x²= Cx² B 2x³y5-3x²=Cy²…

A:

Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

A:

Q: 1. Eliminate the arbitrary constants in the equation given by: (x- a)(y – b) = 1 |

A:

Q: What is the value of x in (2x - jy) + (y - jx) = 1 - j5?

A: We have to find the value of x where 2x-jy+y-jx=1-j5

Q: Evaluate the Cauchy principal value of 2x² - 1 fo dx. x4 + 5x² + 4

A:

Q: x²y = 1+ cx

A: the given equation is x2y=1+cx

Q: tion: y" – 3y' = e3 – 18x. - -

A:

Q: Find the General and Particular solution of = 3y ; y = 3, when x = 0

A:

Q: Find the general solution of ylty = 2xcosx -cosX %3D

A:

Q: Using the principles 2y. -3y + y = 5-3" Vn20 where y=1 and y₁=1

A:

Q: 6. 6. If f(x) dx = 37 and g(x) dx = %3D 16, find [3f(x) + 4g(x)] dx.

A: Given that                                           we have to find…

Q: 3)으 rcose de Jsine 1-x2 d ¿= xp 2

A: LEIBNIZ RULE

Q: What is the solution of (2x - y)dx + (4x + y– 6) dy = 0? а. (x+у-3)°- с (2х +у- 4)? b. (x-y+3)²=…

A:

Q: 6 6 If f(x) dx = 33 and g(x) dx = 14, find | [3f(x) + 4g(x)] dx.

A: We know that, for a constant k, ∫k·fxdx=k∫fxdx        ⋯⋯1 We have, ∫06fxdx=33 and ∫06gxdx=14

Q: 5. Use variation of parameters method to solve а. a. y" – 2y' + y = 1+x2

A:

Q: 19 -e 8x + · -2x y = c¡e¬* + c2e¯ xe8x %3D 8100 90

A:

Q: 2 1) x² + y² + 18x - 26y+246=0 CX+972+(₂-137² = 4

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: 12. f(x) = x² (2x + 1)*(x – 3)* y-1) y² + 1 AR 13. 14. ya 12+ 4 x 15. y +2 x+ 1

A: 12) f(x)=x2(2x+1)3(x-3) 5 13)x=(y2-1)2/(y2+1) 14) y=[12x1/3+4x1/2]/x1/4. Repost the next part.

Q: Use variation of parameters to find the general solution of y′′−2y′+ 2y=(e^x)csc(x)

A:

Q: note that X - y +z = e2 and 4x – 3y + 2z = e2

A:

Q: 1+x² »" – 2xy' + 2 y = 0 y (x)=x

A:

Q: If fF · df = [cl-3x – 4y³ ) dx + (x²y) dy, what is F? F =

A:

Q: What is the general solution of xy(xy³ −1)dx + x²(1+xy5)dy=0? (A) 2x5y³-3x²= Cx² B 2x³y5-3x2= Cy²…

A:

Q: (b) Evaluate |(2x+3)V x² + 3x – 5 dx , by using substitution method.

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.