2. x = 4y – y² and x = 4 – y

Q: (B) let y = 3sin5x - 2cos5x show that ax y + 25y = 0

A: Given :y=3sin5x-2cos5x

Q: (1) If x=t*2 +1and y= t*3, then the second 3 (4t) Option 1

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Q: 2y" +2y=2sinx y(0)=0, y'(0)=1

A: Solution y=CI+PI CI=Characterstic integral PI=Particular Integral P.I=sin xD2+1Let D2=-α2so…

Q: if z=x+iy then zz= 3- y² +1 3- y² – 1 G- ² |

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Q: ) xy' + 4y = x², with y(1) = 0 2) y'- -

A: We shall solve first question only per answering guidelines. For others please post again by…

Q: 2. . Evaluate || 3y dS where S is the portion of y + x2 = 4 between x = 3 and x = 3 – z.

A: Given To evaluate ∫∫S3y.dS where S is the portion of y2+x2=4 between x=3 and x=3-z.

Q: 9-y" - 2y +2y=e; y(0) = 0, y(0) = 1

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Q: [d] If xz = yz and z - 0 then x = y

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Q: 1. If (x and jy) = 3 + j8, find x and y. x = 2.40 and y = 1.67

A: According to policy we are allowed to do one question. Image is attached with solution.

Q: 2y dr - (x- y) dy = 0, when x= 4, y = 4. O x-y= x O x+y = 4y Ox+4y = x D x- y = 4

A: We will solve it by converting into linear differential equation

Q: . Show that y x2 2 (xyz)(x – y)(y – z)(z - x) N N

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Q: 2. x y-3xy = 4x + y+1 at (0, - 1)

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Q: y"(t) – 4y'(t) + 4y(t) = 4e2t; y(0) = 1, y'(0) = -4

A: Given differential equation y''t−4y't+4yt=4e2t and y0=1, y'0=−4. Take Laplace transform both sides…

Q: y + z = 6, x + 2y +3 nsistent, if λ is

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Q: 6. S Se(x² + y³)drdy, wherein B = {(x, y) E R²; 1< x² + y² < 4}

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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: Give a particular solution for y" – 2y' + y = 1+x2

A: Given that a differential equations - y" -2y' +y = ex/1+x2.   We know that integration of 1/(a2 +x2)…

Q: 20.t2y′′+3ty′+y=0,t&gt;0;y1(t)=t−1

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Q: S (x,y.:)= 4x°y° -e°y* ++4y-x" +4y–x'6

A: It is partial derivative

Q: Q1: 2ty 2t – (2 – In(t + 1)) y = 0 y (5) = 0 t2 +1

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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: (10 – 6y + e-3=) dæ -3.z 2dy = 0 -

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 4. 2ydæ + (x - x°y) dy = 0

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Q: z = xy³ – a²y, x = t² + 1, y = t2 – 1

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Q: Q5/ find y', y=In(Inx) * O y'= 1/( x-2x)*(2x)=1 O y = 1/( x-2x)*(2x)=2 none of the above

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Q: For Vx - 3 evaluate y when y = 4. O 4 O 4 O-2 O 2

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Q: 4". Sy' 8y Sx'e* y10)=8, y'l0).S X-

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Q: 1. . 2 y² +4 - dy y

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Q: ) Give a particular solution for y" – 2y' + y = 1+x² *

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Q: 1. If (x and jy) = 3 + j8, find x and y.

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

Q: 17. y" + 4y' + 3y = e³t-3u₁ (t); y(0) = 0, y'(0) = 0

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Q: d. {(x, y)| y = 3x – 8} {cx, y)ly = } x+3 е. %3D x-5

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Q: a.) = y° (4 – y²) - b.) y' = y In(y+ 2) %3D c.) = (ye" – 9y)/e" -

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Q: 2. 조우 X*-xy y-3 Find van d

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Q: v x +y = 2xy + 4x; at x = 1 and y = 3

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: c) y'=X-y+1 x-y+2' with y(1) = 2.

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Q: (18) y "+9y '= sec² 2x %3D (19) y "'+6y "–14y'–104y = -11 le*

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Q: 2 1) x² + y² + 18x - 26y+246=0 CX+972+(₂-137² = 4

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: dy 3y y torh(x) + 2

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Q: 2. Is y(x) = 2sin3x + 4cos3x a solution of y" +9y = 0? %3D

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Q: In x y of y = 3

A: Find your answer below

Q: For Vx - 3 evaluate y when y = 4. O 2 O 2 O 4

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Q: x2+5x+4 If y(x) = In find y' (x).

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Q: 2. If x² - xy + y² = 3 find y' and y".

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Q: dy if y = In dæ 3x + 2 \ 1/4 22. Find x2 – 5

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Q: 11. Find y'if y = 2x + Vx* – 9x+3

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Q: y" + 4y + 4y = 162 e with y(0) = 5 and y (0) = 5. %3D %3D y =

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Q: b. xy--2×y- ヴり C. 2x- xy - zy +> - xyy'+ 2xy'; when x 1 when X = 0, y-1 19=1

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Q: 9. Calculate y' for y +2xy = 3x-2y %3D

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Q: 18.t2y′′−4ty′+6y=0,t&gt;0;y1(t)=t2

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