The solution for y″+2y'+y=2e¯³ is? a) y = C₁¯* + С₂xe¯* +x²e¯* b) y = C₁e¹ + С₂x¹ + x²e¯† -x c) y = C₁e¯³ + С₂e³+x²e²¯x d) y = C₁e + С₂xе¯³ + xe¯¨*

Q: Solve y" - by'tlly - Slt-1), ylo)= 1, y'lo)=0 ylo) = |

A: The given function is  y''-6y'+11y=δ(t-1) The initial conditions are, y(0)=1, y'(0)=0 We find the…

Q: If y=x*, then y' (1) = A) 6 B) 12 C) e6+12 D) In(6) + 1

A: Given; if y = x6x , then y'(1)=?

Q: 2) vting daplace toansfóöre, Solve x" Zt)+4x'Lt)+3=(4) uing = 10 gint yeren that xco) = -3t Ans: ILt…

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Q: 4) The inverse of y In a2 is: a) x = a" .b) x = a²y, c) y = a* . d) y = ax 5) the derivative of 5tan…

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Q: /1- (z² + y²) dz dy dæ ) Evaluate

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Q: Solve y"-6y' + 5y = 0 A) y = c,e* +c,eS* B) y = c,e* + ce C) y = c,xe* + c,e D) y = c,xe* +c,xe

A: To solve  y"-6y'+5y=0

Q: Ay + Fy' + qy = 30e* %3D 雲. (每, A. y= C, cos( V95. C2 sin B. + 을이 C,o(뜬)+ Ca + D.y= C, cos 195 4 X

A: To find the solution of the below differential equation. 4y''+7y'+9y=30ex

Q: Consider the equation 4y" + by' + cy = 0 the constants b,c,m,n are real and different from zero, the…

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Q: еху (ay cosica) since) -y + ay²e²) dx = ) dx = (x - 5.n²cx) - 4xye Ja

A: Exact differential equation Mdx+Ndy=0 [ where My=Nx ] has the solution. ∫M (taking y as a…

Q: Find the general solution of (4) **" + 16y " – 8y'– 17y =0 y * + 8 y given that r1 = -4 + li is a…

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Q: answer each question by true or false and explain 1) L{t * e³t} = L{te³t} 2) L-¹{L{t* et}} = t * e³t

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Q: 4. Show that for all formulas p, p,0 E S(P), (a) (9 = 4) = ¬(4 ^ ¬ab).

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Q: 5] What is the particular solution ( yp) of the ODE ( dx +y 4e*)? a) Ae* b) Ax³e-x c) Ax2e* d) Axe-x…

A: Question 1 is soly.It is against the policy of bartalby to solve more than 1 question. Here is…

Q: the associateu mCs are paamei. 6. Find the DE of y = ax2 + bx + c by eliminating the arbitrary…

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Q: Solve y" - 6y' + Sy = 0 A) y = Ge +6;e B) y = ce" +ce*" y = q,xe* +6,e“ D y = G,xe" + e,xe

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Q: Simplify the following by using De morgan's theorem: (with solution)  1. W = BC +B'C 2. X = A'B +…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: y" – xy' = xe ? = y' =? A) y'= -e? +ce* B) y' = x'e? +cx C) y' = xe ? +cx D) y' = - x² +ce

A: The given differential equation is y''-xy'=xex22. Rewrite y''-xy'=xex22 as y''=xex22+xy'. Substitute…

Q: By substituion, u=(y/x) in equation xy'=(x2+y2)1/2 we have u'*x+u=(?)1/2. a) u b) u2 c) 1 d) u3…

A: Substitution in differential equation

Q: 7.) Solve а) y'+y'-by=0 6-) у"-ну' +13y=0 с.) у" -бу' +ац=0

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Q: 4. Classify and reduce the following equations to a canonical form: (a) yu -x*u, = 0, x>0, y>0. (b)…

A: To classify and reduced in canonical form of the given equation is..

Q: Solve. a) y - e" cosy b) +2y= + 2y 6e **-+(Let u - )

A: Since you have asked multiple subparts of this question, we will solve the first three subparts…

Q: 4yy" + 2y' = 0 = y' =? A) y'= -In B) y' = In c) y' = 2n(cy) D) y' =-In E) = 4 1n

A: Given that 4yy"+2y'=0

Q: 1 y +3y' +2y=36 xех

A: As per our guidelines we are one answer only of multiple questions. So remaining questions are…

Q: answer each question by true or false and expla 1) L{t * e³t} = L{te³t} 2) L-¹{L{t * et}} = t * e³t

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Q: Resolve xy +y = e", y(1)= 2 a) y =+2+e* b) y = c) y =+2- d) y = +2. a- e* +2-e e) y =

A: Given that  xy'+y=e^x  To solve the differential equation

Q: 7) Solve the first order equation. c ER dy 4 dr x = x*e* a) y = x°e* – x³e* + cx5 c) y = x5e* – x+e*…

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Q: = (e+ tan())“ then what is the value of y' (0)? a) 0 b) -1 c) 1 d) -2 e) 2 191 a) a b) c) C d) d.

A: To find the derivative of y

Q: In what form should the particular solu tion be sought for the equation y(1) + 2y" + y" + 2y' =…

A: Consider the equation y4+2y'''+y''+2y'=xe-2xThe characteristics equation of the homogenous equation…

Q: Ôz Ôz If Z= tan"'(2) -= 0 show that : *-+ y ôx ôy

A: Let us consider function z=f(x,y) Where f is function of x,y. ∂z∂x represents partial derivative of…

Q: %3D Given: 40 elx [y"-y'] = (x+1)(1-e'2X); determine; А) Ур В) Ус

A: Given 40eixy''-y'=x+11-ei2x