Solve the general solution of DE: y" -5y' + 4y = 3e6r O y = cje* + c2er + ner 10 y = cje* + czet* + efr O y = cje + cze* + 100 3. O y = cje* + c2ze* + 10 3

Q: 6. Solve for x, XE C: a) x³-7x+6=0 b) 2x³ + x²-8x-4 = 0 c) 9z³-4z=0

A: As per the guidelines of bartleby First three question from multiple Parts is answered at a time,…

Q: z dz 2). S: 25+16z2

A: We can find the integration as below.

Q: IV. Solve for x using the fact that if a" = a", then v = w. (Show solution) 6) 5x-1 = 0.042x %3D 7)…

A: Use the fact, "If av=aw, then v=w" to solve the following equations for x.

Q: 4. Express in terms of i (d) V-27 (e) -V-49

A:

Q: 1) Prove that there are no positive integer solutions to the equation x2-y?=1

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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: 2. x = u² + 1, y = 4u² – 4u

A:

Q: -1/2 6) xdy+ydx=(x²+y')"/?(xdy-ydx)

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

Q: Oues: Solve:- min flx,,) = (x, - 1)*+ Cn3- 1)? Subrected to n, +22=4 X,ー-2 き6 Hint : Convert to…

A: Given that,minx1, x2fx1, x2=x1-12+x2-12Subjected tox1+x2=4x1-x2-2≥0The minimum of the given function…

Q: 7-9. Write the polynomial in factored form and then in standard form (multiply it out) with the…

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Q: a) y" - 4y + 3y = 1+ t² b) y" - 4y+3y=e²t

A:

Q: 1. to y = "2x + 6 y = 4x m = m = 1.2. E.. 5. 9. 2 3 b = b = SOLUTION:

A: Given  y  = -2x+6 and y = 4x

Q: у" + 2y' +y = 4e' ¬x

A:

Q: Solve number 3

A: The rules of inference is written in respective lines that has been used in the proof.

Q: 77. er = 1+ x20 + 20 +...

A:

Q: 3 y`dy 3 (4 -у?): 2

A:

Q: Solve for x: a x 2 + b x- ct = 4tr + a x 2 O A) x = (47tr + ct) / b O B) x = 4tr + 2a x 2 - ct /b O…

A: we have to solve for xax2+bx-ct=4πr+ax2

Q: -24 5. y" + 4y" + 9y' + 10y = when x = y = 0, y' = –4, y" = 10 %3D

A: To solve the given differential equation.

Q: |Aut (Z561)| =

A:

Q: Find J2z Әх у of z = x3 + 5x² у + 6

A:

Q: 3) C2 -4 C=C₁UC₂ 3 C₁: line from -4 to (-4+21) C₂: line from (-4+2i) to (3+2) (Cxtiy) dz= ?

A: (.) Given ,          where    line from  to    line from  to we know that   , differentiating both…

Q: y = 16 - x2 8. y 3- -4 -2 -1 2) 2.

A:

Q: у" — бу" + 11у' — бу — 4sin7х + 5 - %3D -

A:

Q: у" — у' — х %3D 0

A: We are given: y'''-y'-x=0⇒y'''-y'=x Auxiliary equation is : m3-m=0⇒m(m2-1)=0⇒m=0, 1, -1 Hence,  CF=…

Q: The general solution of the equation (Dª +D)y= - 12 is A y=c1 + c2x + c3cosx + c4sinx - 6x2 B y=c1 +…

A:

Q: 10. Find all analytic functions such that its real part u = u(x, y) satisfies the differential…

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Q: show x~y and y~Z ⇒ X~Z show X ~X ⇒ X > X

A:

Q: Q/ Solve the DEs: 1-a+ykdx+(1+x*)dy = 0

A: 1-(1+y2)dx+(1+x2)dy=0

Q: 3. Population in a town is given by the exponential equation, P = 14000e05st in t years. a. Write…

A:

Q: Find the general solution of xy + 6y = 6x, VD. 3x a) O y2 7 b) O y2 3x* +C 9x8 c) Oy = + C 49 d) Oy…

A:

Q: If find az/au and az/av. дz/?u = Əz/dv= z = xe", x=u³v³, y=u³+v³₂ (In your answers, do not rewrite…

A: z=xeyx=u3-v3y=u3+v3from chain rule ∂z∂u=∂z∂x×∂x∂u+∂z∂y×∂y∂u

Q: 1. -1 y5-2y dy 75 -3 y³

A: To evaluate the following integral.

Q: 5. /(들+ 4) dt + 4t3 ) dt is -+ t+ + C, b.는+ t® + C,c.는+t+ + C а.

A:

Q: Find mZT. 3-/2 S R mZT = ト 3.

A: Solution-  In the given figure (for angle S)  Hypotenuse is = 3√2 Adjacent = 3 So formula is given…

Q: Solve number 2

A: Using rules of inference the proof is given below. Rules are written in respective rows.