PDEUsing the variable separation method, determine the solution ofplease answer with detailed stepsUtt4un 0,u(0, 1) = u(π, 1) = 0,u(x,0) = 4 sin(2x) cos(2x),u₁(x,0) = sin 3x,0 0t≥00≤x≤T0≤x≤T

Answered: Image /qna-images/answer/8ec5558d-167a-44d2-8d37-0285a38a8098.jpg

Answered: Utt-Aux = 0, u(0, 1) = u(T, 1) = 0,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 31E

See similar textbooks

Similar questions

find all values of unknowns which satisfy the following equations: 1. (x, y, z) - 3(-1, 2, I) = (0, 0, 0) 2. 7(2, x, x^2)-5(2 -x, x^2) = (1, 12x, x^2)+3(1, 0, 1) 3. (sin x, sin2x, lne) = (sinπ, 2sinx, secx) cosx 4.for the given vectors find the value of U V ad normalise U+V U =(1, 1, 3) V = (3, 1, 1)
Using the method of undetermined coefficients, find the particular solutiony for the NHLDE Y'- 4y'+4y=9sinx – 12cosx A y =cosx + 2sinx y =3cosxr y =3sinx D y =3cosx – sinx
Find the solution. dy 2y + dx =x?y²sinx 1 A y = x²(sinx – c ) y = x²(cosx+c) 1 (с) у %3 x²(cosx+c) 1 y = x ( sinx +c) Find the solution. y'= 1 + 3ytanx A 3y cot³x=ctanx + 3sinx – sin³x B 3y tanx=c+3sinx – cos?x (c) 3y cos?x=c +3sinx – sin³x D 3y sin-x=c+3cosx– sin³x
® Find the genelal Solution of the di erentral egation (D²r 25)y = CSCX Sinx + Sin 5x Cos 3X
Differentiate y = VIn x 2 Inx +1 A. 2(In x)2 3. Inx-1 3 (In x)2 2 Inx-1 C. 2(In x)2 13 1. D. 3) 2(In x)2 B.
solve 4 and 5 only Exercise: Separate the variables and solve. 1. x(2y-3)dx+(x²+1)dy=0 ans: (x+1)(2y-3)=c 2. dy=e* dx ans: e'=e*+c 3. sin x dy +cosh 2y=0 dx ans: sinh 2y-2cosx=c x² +1 4. xe'dy+: ans: e'(y-1)+ x? +In |x|=c 2 dx = 0 3 1 5. 2xy- dy = 1 dx = x? +c ans: 3
Solve by integrating factor by inspection: * 2ydx – 3xy dx – xdy = 0 - x' +x*y = c x³ +x²y° = c Option 1 Option 2 x² + x?y=! = c x* + x²y=² = c Option 3 Option 4
Using the method of Variation of Parameters, the particular solution y, for the NHLDE y"+y=sec x ¡s A y,= (cosx) (In|cosx) +xsinx B y = (cosx) (In sin x) +xsinx C) y =xcosx+ (sinx) (In cosx|) (D) =xcosx + (sinx) (In sinx)
use integration by parts. What is the expression after the second integration by parts? x2sinx+2x cost– 2 cosx dx + C x²sinx + 2x cosx-2 sinx dx + C ecost di 2 / COST 2 f si 1+2fcose 2 fcc x2sinx – 2x cosx+2 cosx dx + C x2sinx – 2x cost2 cosx dx + C To evaluate
Mathematics Dr. Jawad Jaaywel Saadoon Exercise : Find. dy 1 y = 1ox+3 Cosx © y =x secx+ Casx O y =cscx -4 VX +7 Sin's Catx. 1+ Cotx y%=x Sinx + Cosx O y = Secx ( Sinx+ Cosx ) O Y = VSecz y= (2-x) tanx O y = (1-cscx)
Find the solution. y'= 1 + 3ytanx A 3y cot³x=ctanx + 3sinx – - sin³x 3y tanx=c+3sinx – cos³x (c) 3y cos³x=c+3sinx – sin³x 3y sin³x=c+ 3cosx – sin³x
0 (x-2y)dy + y dx=0 2 2 (2x² + y²) dx-xy dy -o 3) (Sin³x-y)ox-tanx dy =o use varation method to solve the following fourm le ў-эў+у-вых

SEE MORE QUESTIONS

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

SEE MORE TEXTBOOKS

Utt-Aux = 0, u(0, 1) = u(T, 1) = 0, u(x, 0) = 4 sin(2x) cos(2x), u₁(x,0) = sin 3x, 0 0 t≥0 0≤x≤T 0≤x≤n