What is the particular solution to the differential equation x + (1 + x)y = 12 with y = 0 and 2 - 0 when x = 1? dx x²y = 12x + 24 + 12e1-* xy = 12x – 24 + 12e1-* O D

Q: Find the inverse Laplace of the following: (8 1.

A: Please post the multiple question separately. Here I answered 1st question as per our policy.

Q: Se-2t if 0 3,

A:

Q: Identify and sketch the graph of the following equations in R. (a) r2+2y? + z2 – 8r + 12y - 2z + 35…

A: The given equation for part (a) is x2+2y2+z2-8x+12y-2z+35=0. The given equation for part (b) is…

Q: Express the sum of integrals as an iterated integral in polar coordinates: r2/3 r4+V16–x² x dx dy +…

A:

Q: Using Bernoulli's equation

A:

Q: Evaluate the double integral. dA, D x² + 1 D = {(x, y) | 0< x< 7,0 < y < Vx}

A:

Q: Kora uses the following ingredients to make 1 s'more. Ingredient Amount Graham crackers Chocolate…

A: To solve this problem we need to find out how much amount of Graham crackers required to make 1…

Q: Consider the following IVP: /" -10y' +9y = 5t, y(0) = -1, y'(0) = 2 %3D Find the general solution. 5…

A:

Q: Q3-Find the area outside the cardioid r=2+2sind and inside the circle r-6sind Answer key Area-circe…

A:

Q: [2 - 3 2 - 3 and be express as A = LU as below 14 – 1 – 2 1 * c) Let A = |1 1 01 [411 U12 U13 [2 - 3…

A: The solution is given as

Q: Prove the following using the mathematical induction Let c and d be integers. For every natural…

A:

Q: Use the Mean Value Theorem to establish e > 1+ x, x > 0. Answer:

A:

Q: Which of the following is the general solution to the differential equation (3s – 2t + 1)ds = -(3s –…

A:

Q: (b) How to remove subtractive cancellation from the expression below: /20000. 0001 – V20000. 0000

A: Given expression is 20000.0001-20000.0000   Subtraction of two numbers of similar magnitude gives…

Q: Find the solution. dy -+y= dx 1+e y = ce+e "*In(1+e") B y = ce"+e*In (1+ e*) y = ce -e *In(1-e") ye'…

A:

Q: What is the particular solution to the differential equation +1+y = 2e- with y = 1, 2=-1 when x = 0?…

A:

Q: 4. Draw the logic diagram corresponding to the following Boolean Expression. a) (P+ R)• (Q ® R))+ (P…

A:

Q: 17. What is the general solution of the differential equation (y² + 9)dx + (3x – 2xry)dy = 0? 2y A)…

A: We have to find the general solution of the differential equation y2+9dx+(3x-2xy)dy=0.

Q: Q1 630 Given 10 Represent the answer using three (3) significant figures by applying + 541 70 (a)…

A:

Q: Determine the general equation of the plane containing the points P(1, –4,–5), Q(2,0, 13) andR 3…

A: The given points are P1,-4,-5, Q2,0,13 and R-3,34,6. Position vector is to be find by subtracting…

Q: Question 3. Sketch a graph and fit its linear regression. Find its r. 1 3 4 0.5 2.5 2.0 4.0 3.5 6.0

A:

Q: Let A and B be subsets of a universal set U, show that An B) U (A n B) = A

A:

Q: How many permutation of the letter ABCDEFGH contain the string ABC?

A:

Q: Use the Gauss-Seidel method to find approximate solutions to -21 + 3x2 + 23 = 5 2x1 + 2x2 + 5x3 1…

A:

Q: Which of the following is the general solution to the differential equation (3 + 8y³e3y=x))dy – dx =…

A:

Q: d²y What is the general solution to the differential equation + y = 0 ? dx² у%3D 3x? + Ах + В y =…

A:

Q: Find the laplace of each f(t) (e3t+e) sin2t 4. 2e7t

A:

Q: Use mathematical induction to prove that n3 - n is divisible by 3 where n is a positive integer.

A:

Q: Find the Laplace Transform of h(t) = t? sin(2t) = ='s 3s2-4 A H(s) = (s2+4) 2 482 – 3 B H(s) =…

A:

Q: Find the solution. dy y -xy? dx

A: This is a problem of differential equation.

Q: A particular specie of animal has a carrying capacity of K and a growth rate of r. From an initial…

A:

Q: Solve the given system of linear equations using the LU Decomposition Method. 3)   3x1 + 4x2 + 2x3…

A:

Q: Find the Solution (2x+3)y' =y+ (2x+ 3) 1/2; when x = - 1, y =0 2y = (2x+ 3) 1/2 In (2r + 3) 2x = (2y…

A:

Q: Show if the shown group is cyclic or not. If cyclic, provide its generator/s for H H = ({a+bv2 : a,…

A:

Q: prove that Every group oforder 4

A: Give statement is Every group of order 4 is cyclic.

Q: 1. Let a and b be real numbers such that a < b. Apply the Mean Value Theorem to f(x) = In(cosh x) to…

A:

Q: 2s +3 d the Inverse Laplace Transform of (s+4)

A:

Q: 34. (a) Find a parametric representation for the torus obtained by rotating about the z-axis the…

A:

Q: 11. Find all integers x and y, 0< x, y < n, that satisfy each of the following pairs of congruences.…

A:

Q: Find the solution. dy 2y = 2r/y dx A y = x³(x+c) 3 B y = x(x+c) © y = x²(x+c) 2 Dy = x²(x-c) -2

A:

Q: 2xージ f (x) : 33 Vx2 T sin 2x + Ve2x + 2x –- In e, x # 1 1-x (1–3t)5(t³-8) g(t). t # 2 2-t

A:

Q: .Use the Monotone Convergence Theorem to show that the (2n)! {a)" is convergent.

A:

Q: . ndS over the 2 = 9, where F = is the unit outw

A:

Q: Example #4 MSE A component has the following linear hazard rate, where t is in years Extra Credit 10…

A: The solution provided above is correct.

Q: Let e > 0 be given. Find & > 0 such that |x – 2| < 8 implies that J22 + x – 6| < e. A nsw er:

A:

Q: [2 - 3 11 c) Let A = |1 2-3 and be express as A = LU as below L4 2 01 1 3 U13 2 1 U23 [41 0 [2 – 3…

A:

Q: Match the graphs with their equations. Justify your answer. 1) z = sin(ry), 2) z = sin(x - y), 3) z…

A: We have to match the curves with their graphs. As per policy, we are solving the first three parts,…

Q: Let c1 (t) = ei + 7 sin(t)j + t*k and c2 (t) = e-Sti + 5 cos(t)j – 7t*k. (Enter your solution as a…

A:

Q: Given the differential equation y''+2y'+5y=0,  y(0)=−2,  y'(0)=2 Apply the Laplace Transform and…

A: We have to solve the differential equations by Laplace Transformation.

Q: 8. PROVE: Suppose that SCR is connected, and that f : R → R is continuous. Then f(S) is connected.…

A: