Q6// Solve the equation: y cos? x dy + sinx dx = 0.

Q: Find the solution of the equation cos y dy? which tends to zero as x → 0o and has the value cos y…

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Q: Solve the equation (x+2) Siny dx + X cosydy=1 собуду=0

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Q: Solve dy dx cos x = cos x cst ² y

A: A differential equation can be solved using the variable separation method. In this method, the…

Q: COS V4- x2 dx -2 1/2

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Q: Solve d'y dx² cot x dy - sin² sin²x.y - dx = cos x - cos³ 3 OHS X.

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Q: Solve using the Method of Coefficients: y'' + 3y' + 2y = 7 cos x - sin x

A: The given differential equation

Q: Solve dy/dx=sin(x+y)+cos(x+y)

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Q: solve using linear (y-cos2x)dx + cosxdy = 0

A: Topic = Differential equation

Q: cos(T/x5) dx 16

A: Given that: ∫cos(π/x15)dxx16

Q: Q3) Solve (ysin x + y²) dx – („ - 2xy) dy = 0 + cosx %3D |

A: A differential equation of the form Mdx+Ndy=0 is said t be an exact differential equation if it…

Q: Solve the equation siny(X+siny)Dy+2x²cosydy=0

A: Consider the provided question, sinyx+sinydx+2x2cosydy=0sinyx+siny+2x2cosydydx=0…

Q: S tan?(-2t) sec²(-2t)dt

A: Given, ∫tan2(-2t)sec2(-2t)dt

Q: Solve d²y dx² cot x dy - sin² dx sin² x.y = cos x - cos³

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Q: Solve dy/dx=tan2(x+y)

A: To solve the equation

Q: Solve dy/dx = tan2(x+y)

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Q: dy + (secx)у 3 dx 10 secx + taпх

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Q: Solve : dy + Sec x tany=D0 /6

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Q: 1. Solve the linear equation y' +y = 5 sin 2t.

A: Given that  y'+y=5sin(2t) To find the general solution of the differential equation

Q: Solve this DE 1. dy/dx+secx(y-2sec3x+2sec2 xtanx) + y cotx = 0

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Q: Solve the equation (y - (cos x)^2)dx + (cos x) dy = 0

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Q: Solve dy/dx =tan2(x+y)

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Q: What is the dependent variable in the equation dr + (2rcot0+ sin 20) d0 = 0?

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Q: dy Solve sin -1 | = x +y dx,

A: Sin-1(dy/ dx) = x+y => dy/ dx = sin(x+y).

Q: Construct an equation such that y = = C1e3z cos x + C2e3ª sin x is its general solution.

A: To determine the differential equation from the solution  Check the number of constant in the…

Q: cos ax -dx = te' 2 х* +1 ле",а 20.

A: In this context, prove ∫-∞∞cos axx2+1dx=πe-a,a≥0. Consider, ∫cfzdz=∫-∞∞cos…

Q: Solve the equation (2xy - tan y)dx + (x^2 - x (sec y)^2))dy = 0

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Q: Solve using variation of parameters: y" +y= cos r COS

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Q: olve dy/dx+y=cosx-sinx

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Q: Solve sin - () 2 dy = x + y

A: We need to use substitution method to solve this differential equation

Q: S- d.x (sin3r2)?

A: To find: ∫2xsin3x22dx

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

A: Answer

Q: Solve d²y cot x dx² dy - sin² dx sin²x.y = cos x - cos³

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Q: etany) dy cos?(y)

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Q: Solve the equation [cos (2y) - (3x^2)(y^2)]dx +[cos (2y) - 2x sin 2y - (2x^3)(y)]dy = 0

A: To solve the given differential equation. First we check whether the differential equation is exact…

Q: 4-x2 C. ye arccos

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Q: Solve to find general solution: dy = Exe xez -1 1-x²y dx

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Q: Solve: COS x y'dy +ye' sin x dx = 0.

A: The detailed solution of the problem is given in the next step.

Q: Solve: y'(t)=1-sint –[ »(r)dr; y(0)=0,

A: We will find out the required solution for given differential equation using Laplace transform…

Q: dx ex sin2 (e

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Q: т cos(x?) dx 0,

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Q: i) Solve: (1+ yNdx = (tan-y- x)dy. %3D

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Q: Q6// Solve the equation: y cos2 x dy + sin x dx = 0.

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Q: Q4/Solve for two only Va+9+3 lim, o 1- dx Se sin (e*)dx 3.

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Q: Solve using the variation of parameters d'y/dx + dy/dx 1/Sqr(1-cos²x)| %3D

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Q: dy + y - Sin X dx =0 difference Ekact Solve.equation by

A: The objective of the question is solve the equation of difference.

Q: Solve f 8x cos(7x) dx using Integration by Parts.

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Q: 3x dx | sec 2

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