Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable that converts it into a linear quation. The most important such equation has the form y + p(t)y = q(t)y and is called Bernoulli's equation after Jakob Bernoulli. fn ‡ 0, 1, then the substitution v = yl-" reduces Bernoulli's equation to a linear equation. olve the given Bernoulli equation by using this substitution. t²y + 7ty-y³ = 0,t> 0 y = ± + ct¹4 2 y = ± +q¹4 15t y = ± y = ± y = ± O O O O O +c¹4 + ct¹

Q: 3s3+3s ენ

A: Here the aim is to find the inverse Laplace transform of                 L-1{3s3+3ss6}    using the…

Q: Dr. Frankenstein is growing two types of super- bacteria in his secret lab: A and B. • Bacteria A's…

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Q: Σ (j + 2)² = j=11 = first step 2nd step 3rd step 4th step final answer

A: The given summation is                   ∑j=11n(j+2)2 To find the given summation we shall use the…

Q: D6 + 3D4 + 3D2 + 1) = 0

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Q: Prove that if a function f is one-to-one, then f[A ∩ B] = f[A] ∩ f[B].

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Q: Evaluate: *₁ [²] d -3 [(x²-y²)²] x+y du du dt

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Q: Q.9 Let (x) be a solution to the equation [exy'] + xy=0, x=(-∞0,00) dx Given that (-¹)=0,…

A: We can solve using given information

Q: Find the area of the region bounded by the curves 1 y = (x+8)²¹ Y = 4 and the x-axis using vertical…

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Q: Determine whether the statement is true or false.   b) The set of all ordered triples (x, y, z) of…

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Q: 4. ¿] Evaluate the double integral that will find the volume of a solid inside the paraboloid 2 =1 –…

A: The region In XY-plane  (Or down side view)

Q: Find the Inverse Laplace Transform of the following functions 1) F(s)=- Ans. f(t)=1-e¹ S+S 2) F(S) =…

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Q: Find the general Solution of the following PDES ди -5X -3x 17 9 = 2 ди +u, ucx;o) = ду + 2 е ax…

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Q: 4Z is prime ideal of 2Z, but it is not Maximal ideal of Z. To fo

A: To identify given statement is true or false.

Q: ди ди x====u+Yay ?х

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Q: 2. Given the definition of the main window of the periodic function g(t)=t-P². -1<t<2, g(t+3) = g(t)…

A: Let us start solving the problem step by step  Given g(t)=t-t^2 -1&lt;t&lt;2 g(t+3)=g(t)

Q: 3. Determine if the assigned improper integral is convergent or divergent. Leve+I de 1

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Q: 1. The diagram below shows the left hand side of the main window (one period) of a periodic…

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Q: if it is a simple ring. Let R be a field of real number. Then Z8 is a subfield of R. 4Z is prime…

A: According to rule of bartleby  we can solve only first question or three sub question of first…

Q: Let :Q-21 → be an epimorphism. Hand written plz a) Show that f(n)-n for every n e Z. b) Deduce that,…

A: Here f:ℚ→ℚ is an epimorphism. That is f is a surjective ring homomorphism from ℚ to  ℚ. Now we can…

Q: Find the determinant of the matrix [2 4 11 385 16 2 41

A: here we have to calculate the determinant of the matrix…

Q: An 11-m beam is subjected to a load, and the shear force follows the equation V(x) = 5 +0.25x² where…

A: We can solve this using given information

Q: Consider the following Gauss-Jordan reduction: 10 0 100 56 70 56 70 1 00 0 56 7 0 →> 00 68-69 010 =…

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Q: Find the volume of the solid generated by revolving 1 the region bounded by y = e-x², the x-axis and…

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Q: Evaluate: ³₂2₁ (4x²y – z³) dz dy dx

A: We have to evaluate ∫03∫-24∫104x2y-z3dzdydx.

Q: Write legibly and neatly thanks  List down the steps in finding the root of an equation using…

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Q: II. Problem Solving/Proving. Show all complete solutions. 1. Show that V = M22, the set of all 2 x 2…

A: The solutions are given below

Q: II. Solve the non-linear equation: 1.) x2 - xy + 2y2 = 16 x - y = 2

A: Since x - y = 2 =&gt; x= 2+ y Therefore  x^2 -xy + 2y^2 =16 becomes (2+y)^2 -(2+y)y + 2y^2 =16 =&gt;…

Q: Set up the triple integral that will give the following: = the volume of R using cylindrical…

A: Given R=0≤x≤2, 0≤y≤4-y2, 0≤z≤4-x2-y2 The region is  The down view of the region ( semi circle in xy…

Q: 4 Find the area of the region bounded by x = 2y² +1 and the y-axis using the horizontal strip.

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Q: +y" - 4y +6y= 3-3

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Q: Let D30 (1,2,3,5,6, 10, 15, 30), and define a partial order on Dao by x ≤ y if 1 and only if a…

A: Given:   D30 = {1,2,3,5,6,10,15,30}

Q: Show the drawing and entire solutions to know the differential equations of the following:   1.…

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Q: 5. In determining the particular solution to 2x" + 3x' = 3 sin(1), you must solve 2(-M sin(1) - N…

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Q: -3 -4 Evaluate: ₂₁ (4x²y - z³) dz dy dx

A: ∫03∫-24∫10(4x2y-z3) dz dy dx

Q: Maximize: Z = 4x1 + 5x2 subject to: 3x₁+ 6x₂ ≤ 36 4x1 + 2x2 ≤ 36 X1+ X₂ ≤ 8 Find the combinations of…

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Q: Activity 3: Find Me! To further strengthen the foundations in solving permutations, you may search…

A: 1) the covered walk of a school is to be lined with flags. how many different arrangements are there…

Q: An 11-m beam is subjected to a load, and the shear force follows the equation V(x) = 5 +0.25x² where…

A: Note:- As per our guidelines, we can answer the first of this problem as all the methods are…

Q: Find the area of the region bounded by the curves 1 y = (x+6)²² y = 4 and the x-axis using vertical…

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Q: cos(2³) COS 2 sin 2 2 (A) z = 0) is a simple pole (B) z = 0 is a removable singularity (C) Resf(0) =…

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Q: Solve y" (t) + y' (t) – 2y (t) = H (t) ; y (0) = 0 ; y' (0) = -1 where - H(t)=t+1, 0≤ t < 6 H(t) =…

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Q: Let b₁ 2 = sin−¹ (²) and c, = sin-¹ („²7) for all n € N such that n ≥ 2 +00 Σ(1+bn) n=2 Σ(bn-Cn) n=2…

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Q: Solve

A: find the value of x,y,z

Q: Solve the following systems of linear equations via matrix algebra: –3x + 2y – z = –1 6x – 6y + 7z…

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Q: Q1\ A\ Define and give an examples with its solutions for the following terms: (1) Strongly…

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Q: Let f: RR be a continuous 27-periodic function whose Fourier series is +∞ 1 1/2 + + /20 cos(nx). n=1…

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Q: Q5/Solve for x the following inequality and show their solution set (x: x2-x-30-01

A: We have to solve for x. Given inequality is  x:x2-x-30⩽0. Now we can solve for x .

Q: For each of the differential equation determine the order of the equation and if the equation is…

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Q: iterated de the hyper

A: Volume enclosed by hyperboloid z=1+x22+y22 under the plane

Q: Draw a direction field for the differential equation y' = −y(5 - y). Based on the direction field,…

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Q: a. Find the coordinates of point A. b. Region R₁ is bounded by the curves y = r² - 1, y = x³ + 1,…

A: The area of the region in a plane can be found using double integration.