g) y² ex+y = cosh x + √rosh²x -1 +7 et h) (3 x y² + 4y) dx + (3 x²y² + 2x) dy = 0 I) sin x dy Sin 2x - y cos x dx کو روز

Q: Find dz given:Za fixry}==x+2xy+4y2

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Q: State whether the following statement is true or false: A vector space may have two or more zero…

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Q: (s,+)=(-3,1) X=5?+2+? y= 6st a) 4s x sinly) + 6+x?coscy) at (-3,1) b.) 8tx Sincy) + 6sx? Coscy> at…

A: GIVEN  (s,t)=(-3,1) X=s2+2t2  Y=6st substituting the value of s,t for X and Y we have  X=(-3)2…

Q: -5 sinx dx I = =? ecosx +3e-cosx ) +c COSX a) arctan 3 cosx b) arctan + C

A: To find ∫-5sinxecosx+3e-cosxdx

Q: y"+y = sin x, use Method I

A: Given that: y''+y=sinx

Q: [2x*dx (Ans. 3 2 x' +c ); (xi) J3x°dx - 3 In\x)| 3 |3x'dx (Ans. (Se* –x? +2)dx , (x + 0) (x) x' +c);…

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Q: c) y = (x-2) 3 x² (x-1)(x+5)4 [Hint: use logarithmic differentiation]

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Q: Solve using MUC. y" +4y=3sin2x 3+3+5+ y = C₁ cos2x+ C₂sin2x - -Xcos2x 4 y=C₁ cos2x + C₂sin2x +…

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Q: for Q4\ Find fo dx 1) y = (x cot 2x) 2)x+4x√√y-5-3

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Q: 3) v = C,e2x cos 3x + Ce sin 3x 2x

A:

Q: Find y SX a) y = 3 sin (x² + 5x - 3) y' = c) y = sin" (6x) y'= b) xE5X+2 d) y = In (2x) Y₁ = Y y' =

A:

Q: D2-2D- 3)y = 2sin x; y a. y = C,e™* + Cze* - cosx -sinx %3D COSX b. y = C;e¯* + Cze³* + =cosx – sinx…

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Q: 3+2cosx dx is equal to (2+3cosx) sin x 2 cosx 2+3cos x) 2+3sin x 2 cos x 2 sin x (d) 2+3cosx 2+3sin…

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Q: 8- Evaluate a) ſe² + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) J 73-9x²+8 esc²) dx Csc2 - х3-9х2+8

A: We have to use proper substitutions.

Q: f6)= Sin () (x 3x26x-8) 1 CosX In Ceos x) | $66)=Sinx+t Cosx. sinsetl -6()=DSin -2053 2.

A:

Q: solve the differenctil equation by undtermeind coefficients y'' +2y = -18x2e2x   y(x) = ?

A:

Q: Evaluate: e* cos (7e*) cos (4e*) dx - sin (3e*) + –sin (11e*)+C A 22 B - sin (3e*) – –sin (11e*) +C…

A: Evaluation of the Integral

Q: -1 du 4) [cot-u] %3D 1+u2 dx dx d 5) 1 du [sec-1 u] %3D dx u vu2-1 dx -1 du 6) [csc-1 u] dx u vu2-1…

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Q: d du 1) (sin-1u] dx %3D 1-u2 dx -1 du 리는 [cos-1 ul = dx V1-u2 dx d 1 du 3) = [tan-1 u] dx %3D 1+u2…

A: I have solved first three part for other repost question

Q: Cannot solve

A: Multiplying and dividing first term by secx and second term by tanx of left hand side of equation ,…

Q: 4) x dy-ydx=(x²+xy-2 y²)dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The general solution of the equation (D*+D)y=-12 is y-+x+ccosx + c,ainx +6x ® y-c, + cx + cycosx +…

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Q: Find y' and dy a) y = 7 sin (x² + 3x-3) y'= c) 7 y ² - 3x² = 4 dy dx = b) 2 y = X²³-4x+2 y' = De²y =…

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Q: x+1 dx x(x+3)(x+2)(x-1)

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Q: Solue coscx+y) + (るご+zy+coscx th)), dx

A: