y" + 4y = 16 t cos 2t

Q: y (1) = t+ y(t-t)cos rdt , y(0) = 0

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Q: cosysin2xdx – (cos?y – cos?x)dy 0 when y(30°) = 30° %3D %3D -

A: Solution is given below:

Q: 1. sin'y (2-3 cos y )dy

A: Given: ∫sin3y(2-3cosy)2dy

Q: 1. S sin’y (2 – 3 cos y)°dy

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Q: 9x Differentiate y = sec sec(; COS a

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Q: Find dy/dr. cos 2r y = sec r+ 1

A: solution :-To find :- dydxy=cos2xsecx+15=ddxf(x)g(x)=g(x).f'(x)-f(x)g;(x)[g(x)]2

Q: Differentiate. y =  emx Cos nx

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Q: (d^2 y)/〖dt〗^2 +16y=cos ⁡t

A: The given equation is; (d2 y)/(dt2) +16y=cos ⁡t

Q: y' – 3y + 2y = cos(e-")

A:

Q: Solve for the first-order DE: y’+y-y^2(cos2x-sin2x)=0

A: Solution: A first-order Bernoulli ODE has the form of y' + p(x)y =q(x)yn Rewrite the form of…

Q: J cos 3x cos 4x dx :

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Q: + b¬ + cx = 0 dt lution given by: - (A sin ßx + B cos ß.

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Q: -2 cos(6t) dt J (10+4 sin(6t))²

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Q: (t² +3) cos(5t) dt

A: According to integration by parts:∫udv = uv _ ∫vduWhere u can be choose in the orderInverse, Log,…

Q: dy Find xp x/3 y = cos () dt CoS

A: Given : y = ∫x3π3cost3dt

Q: y" + 4y = 4 sin(2x)+ 8 cos(2x), y(0) = 0, y' (0) = 1.

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Q: y′′+ 4y = 32t cos 2t, y(0) = 0, y′(0) = 2

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Q: I 1 y sin(2²)dx dy. 0. y2

A: See the details solution in below

Q: y=cos(4x) /cos22x-4sin2x cos2x differentiate?

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Q: (D³ + 3D + 4D³ + 12D²) y = 32 cos (2x) +3e3 – 16 sin (2) -

A:

Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: What is the annihilator for y=x e*cos 2x ?

A: Our Aim is to compute the annihilator for y=x ex cos 2x -(i)

Q: Differentiate y = sin (e) 3x O a. 3e3 cos e3 e3x O b. es cos e c. 3e2 cos e2a Od. O d. 3e" cos e

A: Recall:  Chain Rule of differentiation :        If f and g are both differentiable , then…

Q: cos"(siny) dx dy = %3D

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Q: 3x d. Evaluate dx COS cos (3t – 1) dt

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Q: L(cos at) = %3D s2 - a2 صواب İhi O

A: Given that  L(cosat)=s/(s^2-a^2) To find the condition is true or false

Q: cos-(siny) dx dy = -29

A:

Q: 6) F Sin12y Cos’ y dy

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Q: Find the value of zrr at the point (0, 3, 2) where x?y? + z2 – cos(xyz) = 10. -

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Q: dz Find a? sin(2y – 5z) =1+y cos(6zx)

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Q: cos 2y dy sin y

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Q: (d) (.9.z) = arctan(y/F) + sin (3 + ry-5y).

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: b. sin 2xdy – 2(y – cosx)dx = 0; when x = n/4, y= 0

A:

Q: Find y' where y = cos (ze19 =) – gec = Cos ( xe-

A: on doing differentiation with respect to x we get option C

Q: 5 Find *: (a) y = cos(11x + 2x) dy

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Q: 2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

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Q: y" + 10y' + 21y = cos(at); y(0) = 1, y'(0) = 0

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Q: f(t) = e¯3t cos ( at + cos ( 2at + 3 2

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Q: y" – 3y' + 2y = cos(e-*)

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Q: 7. y" + y = 3 sin(2r) +t cos(2t)

A: The general solution of an ordinary differential equation of the form;…

Q: (D² – 3D + 2) y = 14 sin 2x – 18 cos 2x

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Q: + yž = 1, when x = 0, y = 4 dx cos(x + y), when x = 0,y =" dx

A: The objective is to find the solution of the differential equation.

Q: Obtain the der a) cos(xy)=2y, find y'

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Q: y"+6y'+13y=150 cos(2x); y(0)=1, y'(0)=3

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Q: t/2 SL cosx/1+ cos²xdxdy is equal to 0, siny

A: Consider the iterated integral, ∫ab∫f1xf2xfx,ydydx In this iterated integral, the integration is…

Q: dy Find -5 y%3D(2+cos4t) dy dt

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Q: X cos (3x) dx,

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Q: d Cvaluate dx cos (r² + 1) dt

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Q: 3. y" + 2y' + 5y = t cos(5t) - 6,y(0) = 1, y'(0) = -2

A: