first and second die respectively, Find: (i) P (X = Y) (i) P (X + Y = 8) (iii) P (X + Y > 8)

Q: Use variation of parameters plem) to find a particular solution to y" – 2y' – 15y = e -3t %3D You do…

A:

Q: F(s) = (8s + 11)/[(s-4)(s²+9)] %3D

A:

Q: Use Euler's method and 4 steps to approximate y(1)

A:

Q: 3) Evolvate Ci(0) e²/z dz е

A:

Q: y" – 2y + y = 1+x?

A:

Q: By using variation of parameters answer the following for the DE: y''-y'-2y=4x^2  g) What is u2y2…

A: We have to find u2y2 using variation of parameter.

Q: y = 8e*, on x e [0, 2]

A:

Q: (2siny + 1) = 4 and y(0) = what is x when y =n?

A:

Q: Find y' and y'' of e^(x+y)+y^2+x^3=0 Thank you so much!

A:

Q: For y''+3y'+2y=e^-x, use the variation of parameters formula to find a particular solution. Show…

A:

Q: sheet Undetermind Coefficient 2 Y +2Y+Y=x'e хе

A:

Q: V Solve using variaton of parameters or recuction of order (D. 3D+ 2)y = (1+e*)

A:

Q: 6 - 3x2 + 3 Find the general antiderivative of f(x) - - - x5 + C

A:

Q: Is F =Y. x> x+y? conservative

A: Proceed as shown

Q: Sll, dxdydz , where T: 0 < x < 1, 0 < y< v1 – x², Vx² + y² < z< /2 – x² – y²

A: we have to triple integrate using the given limits

Q: 8. 8. f(x) dx = 37 and g(x) dx = 18, find [3f(x) + 5g(x)] dx. %3D %3D

A: We have to find the value of integral: ∫083 fx+5 gx dx if ∫08fx dx=37 and ∫08gx dx=18. Rewriting the…

Q: fx,y (x, y) = Evaluate E[Y]X = 0.8] > given by [(x + y²), 0 < y ≤ 1,0 < x≤1 0, otherwise

A:

Q: 8) Use the Trapezoidal Rule to evaluate V1+ x² dx;n = 3.

A:

Q: GiNen Y+ 3y -22 こ4 what is the value of - - マ+ メと 2y +3z = -1 X +y tz?

A:

Q: 5) /x + y + y² + x² = 18, y'at (0,4 )

A:

Q: 1. Let f(x, y) = Vx³ + y5. Find f2(0,0).

A:

Q: The cost per day to society of an epidemic is C(x, y) = 40x + 230y where C is in dollars, x is the…

A:

Q: Q3) Use Euler's method to estimate y(0.02) ey-x y' =- 1+e2y „y(0) = 3 (h=0.01) .What is the error in…

A: According to Euler's method: yn+1=yn+hf(xn,yn), where xn+1=xn+h and h is a considered step size.…

Q: What is the physical significance of y[n]=T{x[n]}

A: We denote a linear transformation from a vector space to that vector space T. That is, a map T:V→W…

Q: 8.s Y°+y² _ dy + y² – 1 y2 + 1 8. S

A:

Q: 1 duce to lowest terms : -2 B. x+1 x² - 4x +4 x+2 х-1 x² - 3x +2 x+2 D. x+1

A: We need to reduce the following expression to lowest terms x2-4x+4x2-3x+2

Q: Solve using variation of parameters y" – y = e2=

A:

Q: eY+Ve2y-4 5. x = In sove for y“ 2.

A:

Q: Three resistors with resistances R1 = 10.7 ohm, R2 = 14.3 ohm, and R3 = 19.4 %3D ohm are is series…

A:

Q: 5 Use implicit derivation to find y. x² +y +z =e"-

A: Given,           x2+y2+z2=exyz

Q: A. y" – 2y + 1 = (x + 1)e²x

A:

Q: Find the value of d2y/dx2 at the point defined by the given value of t. x = t, y = square root 2t ,…

A:

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

A:

Q: Lion 1-y If x = Show that 1+y dy V1-y

A:

Q: y" – 2y' + y = e*/x

A: The given differential equation is…

Q: y''+6y=6+x By using i) Method of undetermined coefficients ii) Method of variation of parameters…

A: i) Given that y''+6y=6+x Take m=ddx m2+6=0m2=-6m=i6 Hence the homogenous solution is…

Q: y = x"-9 (x 20) X=0, y=D, about the Xaxis %3D

A: To find the volume of curve , towards the rotation about x - axis.

Q: a) Let y" + xy' + y = 0 be given. Why does the approach y(x) := e^× does not work?

A:

Q: Using the variation of parameters, find the particular solution of (D2+1)y=secx

A:

Q: 4. y = vx + 2 x,for-

A:

Q: What value(s) of k in the equation y = ekx will satisfy the equation y + y' = y"?

A:

Q: The between cuefficient of corteletion X and'y のメー ag and and の2=114 what is constant a2 where x…

A:

Q: 2x³y' = y(y² + 3x²) using Bernoulli.

A:

Q: Öz dz 2. What is the sum of x +y ay ду given that z² = x² + y?.

A:

Q: (ii) y" – 4y' + 4y = e3", y(0) = 0, y'(0) = 0. %3D

A: We have to find general solution of the given initial value problem.

Q: 5. y = xArctanx - In V1+x 6. y = In (e* + e*)

A: topic-second derivative of a function

Q: Find E[Y(z)] when Y(z) is given by 2z' + 6z² + 5z + 1 2(2z + 1)

A:

Q: Apply Variation of Parameters to find the general solution. e* у"- 2у'+ у 3 1+x?

A: Given y''-2y'+y=ex1+x2