REDUCTION OF ORDER AND VARIATION OF PARAMETERS 1. (D² + 4) y = tan 2x 2. (D² + 8D + 16)y = C. 1-e4x

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A: 1. We know, ∫secnxdx=n-2n-1∫secn-2xdx+secn-2xtanxn-1   Given differential equation,…

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Q: ) ور شم( موم 2 4-x 2 2 4-x 2 x++y¯+z° e - dz dy dx -2

A: To evaluate the below integral. ∫−22∫04−x2∫04−x2−y2e−x2+y2+z23/2dz dy dx

Q: 2.) 2 (x -y)dx + (3x² - GxY - 2x) dy

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Q: 31 Solve by the Method of Variation of Parameters: y" – 3 y' + 2y = cos e t

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Q: C. VARIATION OF PARAMETERS 1. (D² + 1)y = secx tanx 2. (D2 – 3D + 2)y = 1 1+e-x

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Q: Q6. Use the method of Variation of parameters to solve (i) y" +y : tan x.

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Q: (a) (Ex) ((Ax --> Bd) --> Ky) (b) (Ex) ~ (Dx v Cy) (c) -(x) (Dy --> (Hx v ~Ga))

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Q: Q.No.3: a) Solve Cauchy-Euler equation d'y 3x3 dx3 d²y dx2 dy + 9x? + 6х— — бу %3 1+x3 dx

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Q: Q.No.3: a) Solve Cauchy-Euler equation d'y 3x3 dx3 d'y + 9x2 + 6x dx2 dy 6y = 1+ x3 dx -

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Q: C. VARIATION OF PARAMETERS 2. (D² – 3D + 2)y 1+e-x

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Q: -1 tan y2 y2 +1 n¬² y tan-1 y ) dy

A: We can integrate this integral by using the integration by substitution technique. Here we have to…

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Q: solve linear DE (D2+2D+2)y=e-x+sin2x

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Q: 4. Find the general solution to the equation via the variation of parameters y" + 9y = tan(3t)

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Q: che general solution of -V - 6y = 6x3 + 26 sin 2x

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Q: 2.Solve bernoulli (x ^ 2 + y ^ 2) * dx - xydy = 0

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Q: y" + y = sec (x)

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Q: Solve using variation of parameters or reduction of order (D² + 1)y = sec*x

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Q: (D+1)2 y=e-x sec2 xtanx

A: Given that, (D+1)2y=e-xsec2xtanx Now the equation can be written  as,…

Q: using variation of parameters: - 2x + x = e t (et 1 1)2

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Q: d?x + 4x = sin2t Q5: Solve: %3D dt2 Using variation of parameters method?

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Q: 3 5. [20 points] Solve (x + y)dx+ dy=0 +x-

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Q: 3z (sec-(-3z?))³ 2|–3z*|-/9zª–1 If y= sec-1 (-3x²), then dy dz

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Q: 0 Determine-v for the implicit equation x2 + Уз-x cos y dx

A: Obtain the derivative for the implicit equation as follows.Differentiate both sides of the equation…

Q: The Method of Variation of Parameters (3) y" + 4y = sec x

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Q: (3x -y - 4) dy t (x+y-4) dx = 0, 2. 14

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Q: b- y" -y+2y+ cos x, 05x y(0) -0.3, y()--0.1

A: To show the boundary value problem has unique solution we solve the given ode by method of…

Q: Q6. Use the method of Variation of parameters to solve (i) y" + y = tan x.

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

Q: 16. (12x2 - 10ху +2у' +4) dx +(бху? - 5x3) dy %3D0 18. (tan y+ ycos.x)dx+( senx+x sec² y)dy = 0

A: Follow next step

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Q: | 4x sech x2 tanh x2 dx A) - 2 sech x² + C (в) 2 B sech x2 + C sech x2 +C C 2x D) 4 csch x2 + C

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