Find the general solution of (D4+ 50D2+ 625) y=0 (A y=c,cos5x + c,sin5x +czxcos5x + c „xsin5x B) y=c,cos5x+ c,sin5x 5x 5x 5x (c 5x 5x -5x (D) -5x +C xe

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Q: 4. Let V be a finite-dimensional vector space and let S be a subset of V which spans V. Then S a.…

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A: Given differential equation:- 6x+y2dx+y2x-3ydy=0

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Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(x,y, z) = 4.x +2y + z subject to r…

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Q: 13. The area which is inside the circle r = 10cos O and to the right of the line r = sec O:

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Q: Show that -Vx(P(x)→Q(x)) and 3x(P(x) ^ –Q(x)) are logically equivalent

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Q: Solve (x² + y) dx + (y³ + x) dy = 0 O x^3/3 + xy + y^4/4 = c O x^3/3 - xy - y^4/4 = c O x^4/3 + xy +…

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Q: 8r' dr by the Ga

A: ∫028x7dx x=b-a2t+b+a2 change interval a,b=0,2into -1,1 using x=b-a2t+b+a2 a=0,b=2 x=t+1 t=x-1…

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Q: Solve the exact DE (2xy³ + cosx tan y +2 sin x)dx + (3x²y² +sin x sec² y-3 csc y cot y)dy = 0 (1)…

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