Solve y′′+y =sec x.

Q: dy 4. x - y = x² sin x dx

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Q: Solve the homogenous diff equation of; y' = y sec x

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

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Q: x*y"+xy'+(x? y=x cos x 2. Show that is a solution of the equation

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Q: Solve y(4) y = cos t.

A: As per our guidelines we are supposed to answer only first one. Kindly repost other parts in the…

Q: Solve by Exact method ydx- (2xy +y ²)dy so

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Q: Solve the linear D.E dy = (e-X sec2x - y)dx

A: Given: dy=e-xsec2x-ydx ⇒dydx=e-xsec2x-y⇒dydx+y=e-xsec2x which is linear differential equation of the…

Q: Solve dx/y-x = dy/y+x = zdz/x2-2xy-y2

A: Solve:dxy-x=dyy+x=zdzx2-2xy-y2

Q: Solve  (dy/dx) = e2x+y

A: The given differential equation is dydx=e2x+y

Q: Solve y"-2y'+ 2y = e* + cosx

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Q: Solve the particular solution of (D2 + 1) y = sec (x) tan (x) using variation of parameters

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Q: solve using the appropriate method. y' + yx= sin x

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Q: - Solve the equation 3(y+1)dx-(x+y+3)dy =0.

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Q: y= cos (1-t) and x=V2t - t2

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Q: 3) y tan-1(y²) dy

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Q: 1. Solve, using the method of variation of parameters: y" + y = sec 0 tan 0

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Q: Solve the equation using Variation of Parameters (D² + 1) y = tan x

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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: Choose a non-exact equation and solve. (xy- 2y²)dx - (x² – 3xy)dy=D0 1.

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Q: dª y + a°y .Solve =sec ax. dx

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Q: y" + y = sin t

A: Explanation of the solution is given below...

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

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Q: Solve the Bernoulli equation dy x+y = -2x“y* dx

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Q: Solve: y " + 2y' + y = x co x

A: The given equation is  y''+2y'+y=xcosx This is a second order non-homogeneous ordinary differential…

Q: c) Se' sec (e - 1) dt

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Q: b) y = (e² + √cos x) c) y = |l−tanx 3x³

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Q: Test the equation for exactness and if separable: (2xy + 2x) dx = y dy

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Q: sec'x dx + tanx sing dy cory

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Q: Solve  (dy/dx) = (y/x)

A: By  variable -separable  method  we separate the variable

Q: Choose a non-exact equation and solve. (xy- 2y?)dx - (x2 –- 3xy)dy=0 1.

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Q: Solve the differentual equation y'(sinh 3y - 2xy) =y^2

A: y′ =y2−1sinh(3y)−2xy  Exact Differential Equation An ODE M(x, y)+N(x, y)y′=0 is in exact form…

Q: Solve the exact equation   dy/dx= y/x

A: Given, dydx=yx

Q: i+ cż + x = cos t, e>0.

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Q: Solve t-r sec'y= 2g tan y,

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Q: solve the nonhomogenous equation y''' - 6y' = -cos(x)

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Q: Solve the equation. (3xy)dx + (y- 3x®)dy = 0 -

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Q: Solve dy/dx=(x+y)2

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

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Q: Solve using any method: y" + y = tan x, 0<x< π/2.

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Q: d Solve x'sec'y -x+3x²tan y=cos x dx X

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Q: solve xe dy + ) de

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Q: O Solve the DE: - sin dy y + dx

A: We have to solve the given D. E.

Q: Solve the IVP d'y = 4sec 2x tan 2x, y' (0) = 4, y(0) =-1 dx2

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Q: dy Solve cos x(e2y - y) - dx = e' sin 2x,

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Q: Solve: Ux =x cosy 410y)= y3; ull,y) = es

A: When partial differentiation is done with respect to a variable, all other variables are assumed to…

Q: Solve dy/dx +2t tan x=y2

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Q: Full steps thanks ??

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Q: == cos(yx²) x=r* – 2t, y=1-°

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.