(5D3 — 51D2 + 135D — 25)у %3D0 A. y = ce0.2x + Cze5x + C3xe5x B. y = ce0.2x + c2xe0.2x + C3e5x + Cze 5x C. y = c1xe0.2x + Cze5x + C3xe 5x D. y = ce0.2x + c2xe0.2x + C3xe5x

Q: Evaluate (4D5 – 23D3 – 33D2 – 17D – 3)y = 0 - 3x a.y = (C1 + C2 + C3x²)e¯* + (C4x + C5)e7 %3D 3x b.y…

A: Given ODE is: (4D5-23D3-33D2-17D-3)y=0

Q: xp | %3D P O O d. dy -43xcsc(5x)[5cot(5x)– 3ln(4)] xp -43Xcsc(5x)[5cot(5x)+ 3In(4)] Oc. dy %3D xp |…

A: We have to find

Q: 17. Find the general solution of* (4D4 + 4D³ – 3D² – 2D + 1)y = 0 y = (Cz' + C)e + (C3a + C4)e" y =…

A:

Q: (D+6D² + 12D+8)y 0 y = (1+z)e y = (1-)e %3D O Option 4 Option 3 y = (1+z*)e-* O None of the Choices…

A: D3+6D2+12D+8Y=0 when x=0, y=1, y'=-2, y''=2   Auxiliary equation is,  m3+6m2+12m+8=0 m+2m2+4m+4=0…

Q: d³y d²y +3. dt3 dy d³x d²x dx -+5+y= + 4. + 6- + 8x dt2 dt di3 dt² dt

A:

Q: following is sol

A: Which of the following is solution of (D3-2D2-5D+6)y=0

Q: 1. d²y dt2 dy + 6- +8y=2e-3t dt 2. d²y dy +4 dt² dt +13y = e-t 3. d²y dy +7 +10y=e-2t dt2 dt

A:

Q: (D2 — 4D + 4)у — еЗx A. y = cqe2* + cze2x + e3x B. y = ce2* + c2xe2x + e3x C. y = ce2x + cze2* +e 1…

A: to find out the general solution of the given differential equation

Q: (D4 + 3D3 – 6D² – 28D – 24)y = 0 A. y = c;e2x + C2xe2x + C3e-3* + C4xe + C4xe-3x B. y = ce2* + c2e"…

A:

Q: 5,4 R(x,y) = 3x* - 3x°y" + 5x°yª Ryx Ryy = Rx y = Ryx = II

A:

Q: Find (e3x + 5sinx)dx. -e3x +5cosx +C O a. 3 e3x+1 -5cosx + C b. 3x + 1 e3x -5 cosx + C OC. -e3x -…

A:

Q: 11. (D* – 16D²)y = 0 a. y = C, + C2x + Cze¬4* + C,e¬» b.y = C, + C2x + Cze** + C4@4* c.y = C,x +…

A:

Q: 7. Evaluate * (D5 - 3D4 + 8D³ + 16D² - 9D - 13)y = 0 y = (C₁ + C₂x)e¯x + С3ex +C4e²x cos3x + C5e²x…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Ive the following using Gaussian elimination: 4.x + 17y + 13z=19 x+ 5y +7z=10 2x + 16y + 18z=23

A:

Q: B. y = Ce2x_ C. y = c,e2x (5D3 + 3D2 – 32D + 12)y = 0 A. y = c1e-2x + c2e¬0.4x + c3e3x + Cze-0.4x +…

A: The given differential equation is: (5D3+3D2-32D+12)y=0 The auxiliary equation is: 5m3+3m2-32m+12=0

Q: 2. x3 - y3 = c³, find y" %3D HOOAT d²x 3. x* = at?, find dt2 1983

A:

Q: D. y = C1 + c2X + Cze¯* + c4e4x (D4 + 3D3 – 4D)y = 0 A. y = c1 + Cze2* + C3e* + C4e¬2x B. y = c1 +…

A:

Q: 3.) Find the orthogonal trajectories of a2 + y? – 2cy = 0

A:

Q: 7. Evaluate * (D5 – 3D¹ + 8D³ + 16D² – 9D – 13)y = 0 y = (C₁+C₂x)e¯x + Сze* +C₁е²x cos3x +C5e²x…

A:

Q: 7. Find the general solution of ( D5 + 3D4 – 21D³ – 47D² + 120D + 144 )y = 0 a. y = ciex + c2e3x +…

A: To find out the general solution.

Q: Find the general solution to(D5 - 2D³ – 2D2 – 3D - 2)y=0 O y= e-X(C1 + C2x)+ C3e2× + C4cosx+ C5sinx…

A:

Q: (i) Find the covariance of Y1 and Y2, Cy, Y,

A:

Q: uO The correlation coefficent is found to be 0.567. We can say that the relationshp between the high…

A: The obtained correlation coefficient between high daily temperature and number of traffic accidents…

Q: d³x d2x dx -2- =0 dt dr3 dr?

A:

Q: 1. v20x*y 6. V121x*y* = 2. V147a'b5 7. V625u1ºv16 15 11 3. 320p°q" 8. V224pq" 9. V27w²z° 13 4. V7…

A: Authoring guidelines:…

Q: A) B) dx₁ dt dx₂ dt dx₁ dt dx2 dt dx₁ dt dx₂ Wh = x₁ + 2x₂ + 2x₁.x2 = x₁ + x₂-X1X2 is stable or…

A: Given :           A) dx1dt=x1+2x2+2x1x2    dx2dt=-x1+x2-2x1x2           B) dx1dt=-x1+x2+x12…

Q: What is the general solution of the given DE m2y = C,e™1* where C1, m1, m2 are constants dx and m, +…

A:

Q: := rye" find z²y}e" (ry +1) O None of these Option 3 rye"" (ry + 2) ry²e# (xy + 2) Option 2 Option 1

A:

Q: Which of the following is solution of (D3+2D2+D)y=0(D3+2D2+D)y=0 ? a.…

A: We have given  differential equation D3+2D2+Dy=0 Auxiliary equation of diferential equation…

Q: (5D3 — 51D2 + 135D — 25)у %3 с A. y = c,e0.2x + Cze5x + C3xe5x B. y = c,e0.2x + c2xe0.2x + C3e5x +…

A:

Q: + Cze3* + c3e10x d³y 5- dx3 d²y dy - 30у %3D0 + 64 + 137 dx? dx A. y = c1e0.2x + cze¬3x + c3e¬10x A.…

A: We have to find solution of given differential equation.

Q: Evaluate (4D5 – 23D3 – 33D² – 17D – 3)y = 0 3x a. y = (C1 + C2 + C3x²)e¯* + (C4x + C5)e7 3x b. y =…

A:

Q: z = 2 24 z=Vx² + y² 2 FIGURE 9

A:

Q: Find dw. If w=2x³ +3x2 y-8y2 Oa dw=(6x2+xy) dx+ (3x2 -y) dy Ob dw=(6x2+6xy) dx + (3x2- 16y) dy %3D…

A:

Q: (D² – 3D – 4)y = 0 is ° y = C,e** + C,e* " y = C,e** + C,e* 4х 4x -X -4x ° y = C,e** + C,e* y = C,e*…

A:

Q: Find dw. If w=2x3 +3x2 y-6y² 3 dw=(x2+6xy) dx+(3x2 -y) dy Ob dw= (6x2 +6xy) dx+ (3x2 – 12y) dy

A: This question is taken from the partial differentiation in which we have to total derivative of the…

Q: Obtain the genral solution to (D5-15D³+10D² +60D-72)y=0 y=e²x(C₁ + C₂x) + e-³x(C4+C5x) y=e²x(C₁+C₂x…

A: Given differential equation is D5-15D3+10D2+60D-72y = 0

Q: The reduced form of 3y (5) – 21y (4) + 5y''– 10y"+42y'– 8y+ 5=0 js: A (3D5– 21D4– 5D³+10D²+42D – 8)…

A:

Q: 3 -dp 72 + x2 Integrate: + C

A:

Q: 4. Solve the IVP: d's s(0) = 3,s (0) = -8 C. 20s = t5 + 160t + 60 D. 20s = t5 + 160t – 60 %3D %3D…

A:

Q: Find the general solution to(D5 - 2D3 -2D² – 3D – 2)y=0 O y= e-X(C1 + C2x) + C3e2X + C4cosx + C5sinx…

A:

Q: First order linear of 2x3y'=y(y2+3x2)

A:

Q: 7. (D+ 3)'y = 15x'e-3* 8. (D- 4)'y 15x²e**. 9. D (D – 2)²y = 16e2 10. D2(D + 3)²y = 9e-3x 11. (D² –…

A:

Q: 4) Aşağıdaki fonksiyonlardan hangileri a2 əx² 1 a2 v² ət²! dx2 dalga denklemini sağlar? Neden? a) f…

A: a) Given that f=5x-5vt3 Now, differentiating f with respect to x, we get  ∂f∂x=35x-5vt25=155x-5vt2…

Q: (Dó – 4D* +4D² )y = 0 a. y = C+ C2x + Czev2x + C4xev2x + Cse-VZx + Cgxe-vZx + Cgxe-VZx + Cse-vZx b.…

A:

Q: (D4 – 2D3 + 5D² – 8D + 4)y = 0 (D3 – D² + D – 1)y = 0 (4D3 + 12D2 + 13D + 10)y = 0 (D5 + D4 – 7D3 –…

A: Given

Q: integrate C.

A:

Q: 23D + 12D + 36) 5. (D + 3D² + 3D + 2)y = 0 6. (D3-4D2 + 7D)y = 0 7. (D + D)y = 0 %3D

A:

Q: (4D4 + 20D3 + 35D2 + 25D + 6)y = 0 - Czet. B. y = ce2x + cze3* + cze* + c4xe* A. y = ce* + Cze2x +…

A:

Q: arctan 2x 41. Differentiate y = x2{2x-(1+4x²) arctan 2x] (1+4x²) а. _x²[2x-(1+4x²) arctan 2x]…

A: We have to solve