Question 2 Find the solution. y" - 2y'- 2y = 0 @ y = c,ev3+c,e° V31 ® y = c,e2-v3)1+c,e(2+v3)1 © y = c,e"-v3+c,el+v3)t O y = c,e (1+/3)+

Q: Show that rejst =rcjs(-0)

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Q: Determine |-5 (cot2 (4x + 7) + 1) dx.

A: Given∫-5cot2(4x+7)+1dxUsing identity :1+cot2x=csc2x=∫-5csc2(4x+7)dx

Q: (45)ds。(特)"- sa (49) 48 (xs) 1-1

A: The given integral is (x2+5x) /(x+9)1/4.

Q: S52² +32° +22²-32 +2) dz

A: Solving the problem by finding the value of integration.

Q: (5a+ 4) + 4) (8а- 5)° MathBits.com

A: diagonals intersects at 90 degree

Q: Fincl the general equation of y) + 3y? - 10y -0

A: Let's find.

Q: Write the ratio as a ratio of whole numbers using fractional notation 12 to 1

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Q: 12. Exact equations: Solve: 3xy²dx + (3x²y + 4y²) dy = 0 O ry + y* = c O r?y² + y* = c

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Q: Solve y" + 21y" + 147y + 343y = 48xe-7

A: To solve given differential equation first we find the roots of homogeneous part and then write the…

Q: O f)= e* +2x² +6xt7 -3+2y = 4x" Solue the

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Q: 1. (D² -5D³)y = 4 2. (D³ – 5D* + 7D³ +D² -8D+4)y = 0

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Q: x? + y? = 13 x2 = 1 16 4

A: The given equations are: From equation (i), we get Substituting this value in (ii), we get

Q: Q1\ solve the equation: (x y + x² ) ỹ - y² = 0

A: NOTE-1 (According to our guidelines we can answer only  first question and rest can be reposted.)…

Q: 4 Solve for the general Solution : 3x²ydx + (y* – x³)dy – 0 Select the correct response: ,3 4. O x°…

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Q: a) x2y"+ xy' +(x2- 25)y = 0 b) (1 - x2) y" - 2xy' + 42y = 0 %3D %3D

A: a. Bessel ordinary differential equation has the form of x2y''+xy'+x2-v2y=0. Now, Rewriting the…

Q: (3 da + dy = 0, y(-1) = 2. (y-2x) ry? %3D %3D 3.

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Q: (D3 - 5D² + 8D-4)y=e2x, Find Y = Yc - Yp a. 2x cé + Cẻ +C xe O C. -2x O b. 2x 2x °°€₁p² + €₂²³ +…

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Q: 1 1 (ах + 1) dy + + x² y? y3 = 0 dx

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Q: -x-1)dx= -e-2 А. 2e е-2 В. C e+2 2e Зе- 2 D. 2e 2e

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Q: Find the solution. (D2+2D-3)y = 0 A y = B y = c,e- +cge²2 D

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Q: Classify and Solve; Find the complete solution for the ODE ( D³-5D²+8D-4),y=e²x +2e+3e*)

A: This is a problem of differential equation. Total solution of this equation is sum of complimentary…

Q: Find the solution of the equation (D – 2D + 10)y = e" by using the operator method.

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Q: Solve x from: U = 1- (c-x)2/(c-a)(c-b)

A: Given expression is as follows

Q: = VI3(t G-÷) A W = w? = 5 – 12i, w e C w= ±v13 (은+i) B 13 13 V13 (+ w = W 13 13 w = ±V13(1+ 2i) D w=…

A:

Q: 4) x dy-ydx=(x²+xy-2 y²)dx

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

Q: Solve for the particular solution of the given IVP: O (t^2+y^2)^1.5 - 3ty = 89 O (t^2+y^2)^3 - 3ty =…

A: The given initial value problem is: dydt+y-tt2+y2t-yt2+y2=0 ;       y(4)=3

Q: Find the solution. d3x d?x d³x dx + 2 =0 dr3 dr? dt

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Q: 3.a) Eliminate the Arbitrary Constants in the equation: y = C1sin(2x + C2) y" + 4y = 0 у' — 4у%3D0 O…

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Q: (Зх — Зу+ 4)dx + (x — у)dy %3D 0

A: Given equation is (3x-3y+4)dx+(x-y)dy=0 This can be rewritten as, dydx=-(x-y)(3(x-y)+4) Take…

Q: Find the solution. (D + 602 + 110 + 6)y = 0 A y = c,e-2«, +c,e y = c,e '+c,e -3x c) y = c ,xe" + c,e…

A: Consider y=emx be the solution of the given differential equation. Differentiate the equation y=emx…

Q: (D5 + D4 - 7D3 - 11D2 - 8D - 12)y=0 y = c,e* + (c,+czx)e-+e"(c,cosr +€ sinx) A B © y = c,e+…

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Q: SOLVE: cos(2z) +i z3 + i

A: The solution to the integral will be obtained by summing up these residues. Each residue will need…

Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

Q: Find the solution. (Dé+ 9D* +24D² + 16)y = 0. y = c,cosr +c,sinr + (c,+cx)cosr+ (cz+cx) sinx y =…

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Q: The solution of the ODE: y' +y = x² +2 y=j ex*/5 (x² + 2)dx + C None is:- y.e/5-fe*/5 (x² + 2)dx +C…

A: Topic = Differential equation