Solve the equation xydx - (x + 2y)2dy = o A ewy = cy³ (xy) B ewy = c y³ (x-y) c) exy = c y³ (x+y) D exy = c y* (x-y)

Q: d^2B(u)/du^2 ,but where B(u)= 1/(1+u)^7

A: Given B(u)=1(1+u)7To find d2[Bu]du2:

Q: Solve for the general solution: (D² + 2D - 8)y = C O y = cle^(4x) + c2e^(-2x) O y = cle^(-4x) +…

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Q: х2 — бх + 9 dx Убх — х2

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Q: part b,c,d

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Q: {3x+y=-3 2x+3y=5 (X,y) =

A: Given: 3x+y=-32x+3y=5 To Find: The value of x,y.

Q: Find a real general solution 5x^2 y"+23xy′+16.2y=0

A: Consider y=xm and solve using this substitution to obtain the required general solution.

Q: Solve for the general solution: (D² - 5D + 6)y = 0. Oy=c1 e^(2x) + c2 e^(3x) Oy=c1 e^(-2x) + c2…

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Q: Find the general solution: (x^2D^2 + 6xD + 6I)y = x^2

A: Find the general solution: (x^2D^2 + 6xD + 6I)y = x^2 Given D.E., x2D2+6xD+6)y=x2⋯(1) which is…

Q: (a1x + bịy + c1)dx + (a2x + b2y + c2)dy = 0

A: We will find out the required general solution.

Q: 1. 5х2у" + 23ху' + 16.2у —D 0 2. х?у" + 0.7ху' — 0.1у %3D 0 3. х2у" — 0.7ху — 0.1у %3D0 |

A: Given

Q: (D^3-2D^2-5D+6)y=e^(3x)

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Q: Solve the equation x*ydx +(y-x² )dy = 0.

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Q: y = (x' - 2x2 +3) (7x² – 4x)

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Q: (x+1) dx V 8+2x-X²

A: ∫x+18+2x-x2dx

Q: 2(p^2+q^2)=x^2+y^

A: Given,           z2(p2+q2)=x2+y2

Q: ду Find ду and when dz (a) y = 6 + 3x + 16z + 4x2 + 2z2 (b) y = 14x2 (c) y = 9 + 4xz - 3x2 %3D

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Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

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Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: solve y′′+2y′+y=5t^2 using the Method of Undetermined Coefficients

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Q: Evaluate the solution of: 2(D^2)I - 2Di – 4i=0.

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Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

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Q: sec (2 – 3x) A. – 9sec (2 – 3x)tan (2 – 3x) - 9sec (2 – 3x) tan tan (2 – - C. 9 sec (2 – 3x) tan tan…

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Q: ∫(4y-3)(16y^2+12y+9)dy

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Q: Integrate: (4x-9)/(2x-5)(x-2)

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Q: (3z² + 1) dx (2 + 2x + 1)²

A: