4. Solve the following differential equations:a- y" +zy' ty = x²b- y" -4y = Sinx<- 4"+zy! +y=exANS-9- y = ex (4 x + c₂) +x²-4x+62X-2Xb- y = Ge²x² + cze²x - is sinx-XC- y=Qe + cake +-X

(a) The given differential equation (D.E.) is y′′+2y′+1=x2 Step 1: Find the Complementary Solution…

Answered: 4. Solve the following differential…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Exercises Find the solution of the following Differential Equations 1) y" + y = 3x² 3) "+2y+3y=27x 5) y"+y=6sin(x) 7) y"+4y+4y = 18 cosh(x) 9) (4)-5y"+4y = 10 cos(x) 11) y"+y=x²+x 13) y"-2y+y=e* 15) y+2y"-y'-2y=1-4x³ 2) y"+2y' + y = x² 4) "+y=-30 sin(4x) 6) y"+4y+3y=sin(x)+2 cos(x) 8) y"-2y+2y= 2e* cos(x) 10) y+y-2y=3e* 12) y"-y=e* 14) y"+y+y=x+4x³ +12x² 16) y"-2y+2y=2e* cos(x)
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4. Solve the following differential equations: a- y" +zy' ty = x² b- y" -4y = Sinx <- 4"+zy! +y=ex ANS- 9- y = ex (4 x + c₂) +x²-4x+6 2X -2X b- y = Ge²x² + cze²x - is sinx -X C- y=Qe + cake + -X