y - y = x C. d. у +у — 7у — у + бу %3D 0 (4) y

Q: b) sy- 7y-12 dy y(y+2)(y-3) 4y² – 7y-12 dy

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Q: d = V(22 – a1)° + (42 – Y1)² %3D - - (8, -3) and (-5, 6)

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Q: - y² = 4ax y= ax² + bx + c %3D y = c1e* + c2e¯* y = cqe* + C2xet

A: See the details solution in below

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = (x2 - 1)(y + 2)

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Q: y 2. JJp x5+1 dA, D = {(x,y)|0 < x < 1,0 < y<x²}

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Q: 3. y' +y y2 A. y 1+ Cex = e-3x + C B. y = e-3x +C C. y 1+ Ce-3x D. y = e3x + C %3D

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Q: _y' + 3y" + 4y' + 2y = 0, y(0) = 1, y'(0) = 1, y"(0) = 2 %3D

A: The given differential equation is: y'''+3y''+4y'+2y=0 ;             y(0)=1,  y'(0)=1,  y''(0)=2

Q: у" + 2хy' 3 х — 2у, У (0) %3D 2 & y'(0) = 5 -

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Q: y= (2xy + 3x2)ē+ (x² – 2yz + 2y)ē, – (e² + y²)e,

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Q: fc y 3 ds, C :x=t2, y=2t, 0&lt;t&lt;1

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Q: (z+)* - 8(-V3+i)*i (z + i)* – 3D 16

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Q: 3. y = V(p³ + 5) (p² – 6) %3D -

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Q: Sx, y) = 2r - 3y²

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Q: y" - 11y' + 30y = 20e %3D

A: y''-11y'+30y=20et Use the method of variation of parameter to find the particular solution of the…

Q: ZZ= X+y O x² +y² x² - y O

A: The given expression is zz. Let z=x+iy. Then, z=x-iy.

Q: 2. d-4 d+9 2d a²+3d-28

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Q: y" – 2y' + y = x², y(0) = 3, y'(0) = 2. -

A: y′′ −2y′ +y=x2 Second order linear non−homogeneous differential equation with constant…

Q: 24. y"-4V2y' + 8y = 0; y(0) = 1, y'(0) = 0 %3D %3D

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Q: y = C + Cze-$t O y" + 5y = 0 O y" + y = 0 O y" - 5y = 0 O y" - y = 0

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Q: 3. y' + y = y2 A. y3 = 1+ Ce3x B. y3 = e-3x + C C. y3 = 1+ Ce-3x D. y = e3x + C

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Q: 9x-y+z=3 10x-y+z=8 Find (x,y,z)

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Q: y' +y = x*y2 , y(2) = -1,x > 0 is

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Q: y = C1e2 + C2e- y' +y – 2y = 0 y" + y + 2y = 0 O Option 3 O option 1 y" – y +2y = 0 %3D

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Q: y"(x)-4y'(x)+4y(x) = eax,a E R %3D

A: Given Let’s plug y'=D Hence, Auxiliary equation becomes Complimentary function will be

Q: y = x + C, e* + cz e¯*, 1. y = c, e2* + c2 e³*. + cz e3*. 2.

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Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = x2 - xy + y2

A: fx, y=x2-xy+y2

Q: y(3) + 9y' = 0; y(0) = 3, y'(0) = –1, y"(0) = 2; y1 = 1,

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Q: {e, 9) € R² : 52. {(x,y) € R² : (y-x)(y+x) = 0} (y-x²)(y+x²) = 0}

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Q: y' +y = x*y2 , y(2) = -1,x >0 is

A: Given, The initial value problem is,

Q: y" + 3y' + 2y = 2x – 1, y(0) = 0, y' (0) = 0. %3D -

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1. dzdydz 2. zphpzp - 6-z-3y dzdydz 3. r4-z-y dzdydz 4. ey 5. dzdydz VI-z-y A B D

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Q: y"' + 2y" + y' = e*, y(0) = 0, y'(0) = 1, y"(0) = -1

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Q: O A. y= x+1 y= 2x+2 B. y= 2x+1 y= x+2 O c. y= -x+1 y= -2x+2

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Q: y" + 4y' + 4y = (3 + x)e¯2x, y(0) = 2, y'(0) = 5

A: See the attachment

Q: y - 3y = 8(t - 2), y(0) = 0 %3D

A: We have to solve the given ode using laplace transform.

Q: a2– x2 (x+y)dæ dy

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Q: y3 + y2 + 5y + 4 -dy y2 – y + 3 8.

A: ∫y3+y2+5y+4y2-y+3dy

Q: Y+ 2 - 3W = -2 3x +y -z + 5w - 0 2* + y -2 + ow : o x + y -2 + sw :0

A: To solve the given system of equations using Gauss Jordan method.

Q: 4. y'%3 х — 4у, when x %3D 2,у %3D 3

A: Here we solve the linear differential equations.

Q: y′+ 5 y2 e1 x = 0     ,       y ( 0 ) = 8

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Q: y = x2 + Ce2* + Cze3* y = C,e* + C2xe*

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Q: y" + 2y' + y 5x, y(0) = 0, y(1) = 0; n = 5 %3D

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 4y + xy hen y = %3D

A: Given: The curve, 4y+xy+x2-5=0 Differentiating the given equation with respect to x,…

Q: y""-2y" +5y +26y=0, %3D y(0) = 0, y' (0) =1, y" (0) = 1

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Q: y'+2xy=2x^3, y(0)=1, y(2) using h=0.2

A: As per the question we are give the following first order differential equation : y'+2xy=2x3 With…

Q: P(x, y) = 68+8x-3y; subject to: x20 3x+2y < 44 x<3y y22

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Q: 4. y' = (y+ 9x)² %3D 4x2+y2 5. y' = %3D xy

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