By direct partial integration, Solve the following PDES - X²Z @ ♥ dx dy += ४५ 5 Ans: 7 = x² + x + Z X 824 axdy. 5 4 , z(x,0) = X²+X, Z (2, y) = 3y) 2 6² 68 буч X X = co3x cosy, u(x, #) = X X-² 2 Ans: u(x,y) = sinx siny. + 2 U (#₂ y) = +2 cosy - 12/²2 2 = 2 cosy

Q: Differentiate: y = V6x8 4x6 - y' = (16z" - 8a") (628 - 42°)2 %3D O y = 48z7-24x5 (6z-4z ) Oy = (4827…

A: We have to find derivative

Q: (2 dr z²–10z+15) Integrate:

A: NOTE: Refresh your page if you can't see any equations. . take long division

Q: The integrating factor of xdy + ((3x + 1)y – xe-2*)dx = 0 is %3D O a. xe* O b. 3xe* O c.x'e* O d.…

A: given :

Q: Q1: Solve ýex+y 2 = cosh x + √√cosh² x − 1 + 7e*

A:

Q: Solve by reduction of order. Find y2 and y (x² + 1)y" – 2xy' + 2y = 0 yı = x -

A:

Q: Integrate S (2x+1) Staz+X+4) dx

A:

Q: Suppose A is changed to A' .How large a relative change can this change produce in the solution to…

A:

Q: b) Evaluate: i) Sx(V ++x) dx -2 10 dx ii) J1 x(10+Inx)³ jii) Jo 1+x? dx

A:

Q: Find/ S dy

A:

Q: x* - 2x2 +3 dx 31 Vx2

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: use secant method to to goproximate the solut ion of accurate to within 10, assuming X. = 1.5 and X,…

A: Use the following formula, to find the approximate root of the equation fx=0 by the secant method.…

Q: Find a particular solution y'''-y''-4y'+8y=6xe^2x

A: y'''-y''-4y'+8y=6xe^2x Particular integral = 6xe2x 6xe2xD3-D2-4D+8By using property shift F(D) to…

Q: Solve the equation xydx - (x + 2y)2dy = o A ewy = cy³ (xy) B ewy = c y³ (x-y) c) exy = c y³ (x+y) D…

A: Given : Note : There is a print mistake in the given equation it must be written as : Differential…

Q: Solve the IVP: X' = AX, where -2 1 A = -5 0 3 -2 and -2 X(0) = -1 2

A: To find the solution of X'=AX where, A=−210−50003−2X0=−2−12

Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

A:

Q: Solve for ‘x’ and ‘y’ where x + y = a – b, ax – by = a2 + b2

A: To solve the equation for x and y.

Q: Suppose that Var(X) = 879.05, Var(Y) = 8681.72, and Cov(X,Y) = 2281.58. What is Var(.08X + .92Y)?

A: The objective of the question is to find the variance of the linear combination of two random…

Q: Suppose f (x) = dr=AV5- 3x +C, for constants A and C, what is the value of A? %3D If V5- 3x

A: Integration

Q: 5/ (2xsin x +3cos y)dr- 3xsin ydy = 0

A: Please rate.  Exact differential equation

Q: | (2t + 312)dt 11. (x+ VI) dr 12. 13. 6x2 – VI+

A:

Q: Which of the following is the general solution to the equation (5x 4y 4 +4e 4x-9y -2xy)dx+(4x $y…

A:

Q: Solve for the general solution: (D² + 5)y=0. Oy=c1 e^(√5x) + c2 x e^(√5x) O y = c1 cos(√5x) + c2…

A:

Q: x3 – 3x2 – 6x - Show that - = x-3 - x2 – 9 x – 3'x +3* - - x3 - 3x2 - 6x -dxp. Hence, evaluate x2 -…

A: To show: The equation x3-3x2-6xx2-9=x-3-3x-3+6x+3 and then evaluate the integral ∫x3-3x2-6xx2-9.…

Q: x²-2x* 5. Integrate with respect to x x4

A:

Q: olve: y" +10y" + 29y' = 0 Dy=C₁+C₂e-2 cos5x + C3e-2 sin5z Oy=C₁+C₂e cos2r + Czez sin2z Dy=C₁+C₂e-5…

A: Solution to the differential equation

Q: x - 7 Integrate dx. x2 – 2x - 3

A: NOTE: Refresh your page if you can't see any equations. .

Q: Solve the IVP: X' = AX, where -() xw - () 3 -3 1 A = 2 -1 0 1 -1 1 and 7 X(0) 4 3

A:

Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: Find the annihilator:  f(x) = cos(2x) +4sin (3x)  a. (D^2 +3)^2  b. (D^2 +9)(D^2 +4) c. D^2 - 4D…

A:

Q: Differentiate. 1) f(x) = 4x2 - 5x+4 A) f'(x) = 4x-5 2) y = (2x² + 3x)² A) B) f'(x) = 4x²-5 = 8x3 +…

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

Q: The general solution to the ODE x²y" + 2xy' - 2y = 0 is y = C1x + C2x-2. Use variation of parameters…

A:

Q: The initial value of function f(s) = O 10 O 4 O o O 8 4(s+25) s(s+10) at t=0 is

A: