Find the solution of the given PDE's using the separation of variables. O²y ду + 2+2 дх2 1. 3. ди ду ди 2. 3+2- = 0 and u(x, 0) = 4e-x. дх ду ду 2+2 Әх = = 0. =

Q: For items A through E below, select the two equations with equivalent zeros. (2x +2) y = (x+7)(x+ 2)…

A: The objectives to select 2 equations with equivalent zeros.

Q: 1. (3ху + Зу — 4)dx + (х + 1)2 dy %3D 0

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Q: What are the solutions of x^2+2x+4=0 over Z_6? Hb. write NA if none; otherwise, write answer as in…

A: We have given an equation x2+2x+4=0. We need to find the solution of given equation in ℤ6. Here…

Q: 1. y+13 dy-

A: the given integral is ∫y+13y+1y+3y-2dy Substitute  u=y-2→y=u+2du=dy the integral reduces to…

Q: What is the expanded form of (Vx +2)? c. JE+4Vx+4 D. x+4x+4 A. x' +4 В. х+4

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Solve for X. [5 8 X. -7 5 -3 X + -2 3 -6 3 X = ||

A: Given, 5-13-6X+5-4-21=-383-7X

Q: а. Иух — их +uy — и 3D 0 b. x²uyy – 2xuy + u = 0 c. uyy + xuy +x²u = x* с. d. x*ихх — 2хиҳ + и — 0.…

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Q: 1. One of the roots of -5x²(x³ + 2x - 7) is 0. How many other roots are there? А. 3 В. 4 С. 5 D. 6

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Q: If a, b, c are in GP, then the equations ax² + 2bx + c = 0 and dx² + 2ex + f = 0 have a common root…

A: Given a,b,c are in g.p So the ratio will be same ba=cbb2=acb=ac ---- {1}

Q: The number of solutions of (x? + 1)? + 2(x? + 1) - 3 = 0 is equal to А. 1 В. 2 С. З D. 4

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Q: Which of the following is an implicit solution? 1x2 + y? = C а. 2 d²x b. dt2 = 2t4 x2 с. у — | 2 d²y…

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Q: 3. Eliminate the arbitrary constants: y + c1x + c2x² а. ху" + 2ху' — 2у %3D 0 b. ху" — ху' + 2у %3D0…

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Q: Evaluate V3x? +5 dx xV3x* +5 , 5V3 in/J3x + 3x² +5)+ C xV3x² +5_ 5/3 In 3x + V3x +5)+C A. C. 2 2 6.…

A: Use the method of integration by parts by assuming '1' as the second function.

Q: If z3 − xz − y = 0, find 2z - дхду

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: A. y = x² + 2 Е. у 3 (х- 2)2 I. y= 2x² B. y = -x² + 2 F. y = - (x + 2)² J. y = -2x² C. y = |x| + 2…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: C 9х - 10 Зх- 2 y

A: ABCD is a parallelogram. m∠A=3x-2∘m∠B=9x-10∘m∠D=y∘

Q: Reduce the following D.E. to the linear form, then solve it

A: Introduction: When a differential equation is written as dydx+Pxy=Qx The equation is classified as…

Q: Solve the following equation for y: 35x-7y = 49.

A: Here we want to find the expression for y from the given equation.

Q: di. Classity and Solve 2 ў хах-ўdx= ухаўтуну ух т У+ жу=х 2X

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Q: 1) Solve for y: Зx- у 3 4 2) Solve for x: 4(3x - 4) = -(-2x + 21) 3) Solve for x:

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Q: 5. g(x-3)= же Ex7-3x х<3 x73

A: Explanation of the answer is as follows

Q: The solution to (2x+5)= -(x+2) lies on which interva а. [-12,-8] 2. 15 b. [-9,-4] c. [-3,-1] С. d.…

A: Given  115 (2x+5) = 19 (x+2)⇒ 93 (2x+5) = 155 (x+2)⇒ 3 (2x+5) = 5 (x+2)

Q: 3- Find 02z 02z 02z дх2' ду2’дхду and J2z дудх of: z = 2 In xy

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Q: (Ā+B) • Č, if à = (1, 2, 3), B = (-2, 3, 0) and Ở = (5, 3, 2) Solve for А. 10 В. 12 С. 14 D. 16

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Q: 2 € X = 12-y² - 37² 4

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Q: 10. Determine the value of the unknown variable of the equation 3 (x+³) = = 81*+5 A. 57/11 B. -57/11…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 3 6.- Being = 2x³.y².z4, find V.Vo (div. grad $).

A: Being , to find .

Q: y = 3e* cos 4x + 15e* sin 4x -X -X- %3D

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Q: 15. Which of the following equations does NOT have an extraneous solution? A. x-2= 2-x B. x+1=Vx² -5…

A: 1.x-2 = (2-x)1/2 Taking square on both sides, (x-2)2 = 2-x x²+4-2x = 2-x x²-3x+2=0 (x-1)(x-2)=0…