Which of the following is not the same with the given notation y" + 3 y' = 4y

Q: cos 2t dt 2.

A: Given:             ∫-π3π31-cos 2t2 dt Take the constant out: ∫a·fx dx=a·∫fx dx…

Q: 3 S² x³ cos x ²dx 6.

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Q: Find the particular solution : y" + y' + 16y = sin4x 1 (а) Ур — — 4sin4x (b) Ур 3sin4x --cos4x 1 (c)…

A: Correct option: C The detailed answer is listed below, kindly do like it if you find my answer is…

Q: 28+1 b:If y =-1 prove that. 1- 2y dx

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Solve the following ODE y' + tan(5 x)y = 0 with initial condition y(0) = 3

A: Given that: y'+tan(5x)y=0 and y(0)=3

Q: 7 6.) Let Y 4(cos' (3x+3)> ニ Find dy dx

A: The given function is y=4cos73x+3. Obtain the derivative as follows.

Q: Find the general solution of y′−y=sin x + cos 2x using variety of parameters

A: Given that: y'-y=sinx+cos2x To compare the given differential equation with standard form of…

Q: In right AXYZ with hypotenuse XZ if cos X = and XZ 10 24. then to %3D the nearest integer XY = ?

A: Given: ∆xyz is the right angle triangle with hypotenuse xz x=710 & xz=24

Q: If xty= 2e Cos Øand x-y=2ies.m Ø show that Su

A:

Q: 8F OF OF 1. Use the formulas above to find and ду ax exy + sin (xyz) + In (yz) = 4 – z

A: Partially differentiate the function with respect to x.…

Q: 1. Lif f(x,y,2)=2exp(-5xyz)cos(15z) Find ôxôz

A:

Q: 2. Vsin 3x cos 3xdx

A: Given: I=∫sin3xcos53xdx For evaluating given integral, we substitute sin3x=t…

Q: Calculate the first six iterates in the following iteration with xo = 1. Xn+1 0.3+ sin(x) -

A:

Q: Find L{(2-t) (5 cos 3t – 1)}. 10 s3 s2 s2-9 s(s² –9) 10s 5(s+9) 1 s2 s29 (s²–9)? 10s 5(–9) $29 (2+9)…

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Q: 2 Z = 31 + (Sin 28 + ((ase Ÿ -(Sin@) Fined Iz1 12

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Q: (sec(In x) y ху" + у' +:

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Q: 3) reflection across x - 2 4) reflection across y - 2 AY TH R 6) reflection across x = -1 5)…

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Q: Solve the he o-3D+4)y(x) =x cos(2x) equation y,(x)=(6x+4)sin( *+4)sin(2)-cos(23) - y,(x) =(-6x-4)…

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Q: 4 cos z Evaluate S 16-y2 ydxdydz

A: To solve the given triple integral ∫0π∫04cosz∫016−y2ydxdydz…

Q: 3) Find the general solutions only of the following higher order ODE by method of undetermined…

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Q: Findəz/əx andəz/əy if z = x* sin(xy³).

A: Find ∂z∂x.

Q: 9-x 4. Evaluate ſ, S sin(x² + y²) dy dx

A:

Q: 5. 2 sin7 0 cos Od0 )dy 1 6. JF(ylny 9-y².

A: Use the method of substitution to solve a given problem.

Q: Compute e4 cos (r – 3) dr with two decimal places. Number

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Q: 2. xy' -y == y cos 3x

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Q: Which of the following is a particular solution Yp to y" + 6y' + 2y = cos t where Aj are constants…

A: given equation :

Q: 5. Evaluate 1. S, sin(x2) dx

A:

Q: Ti Ti to 8 Integrate cosh(4z) dz, C any path from - 8 Use the first method, if it applies, or use…

A: Using:- sinhx = -isin(ix)               Sin(-x)=-sinx               Sin (pi/2)=1

Q: 4. Find all solutions to the equation 4sin x cos x = v2 in the interval [0,2]

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Q: # 2. So sin 32 dz C: Izl=3 (z-5)

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Q: Find the solution of the equation = e Cos y ax ay which tends to zero as x → 0o and has the value…

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Q: у" + 4y' + Зу %3D sin (e*)

A:

Q: Find (1,0) where y2 + x2 + eV = 0

A: Given y2+x2+ey=0 ⇒y2+ey=-x2⇒ddx(y2+ey)=-ddx(x2)⇒2ydydx+eydydx=-2x⇒dydx(2y+ey)=-2x⇒dydx=-2x2y+ey

Q: 4. Find the exact values for each of the following. а. sec-1 b. sec-(-V2)

A: The detailed explanation and answer is given below:

Q: 4) Evaluate the following sin (x) -dx 1+ cos (x) 1 ex dx (4x³ + 7*)dx --

A: Consider the following integral: I=∫sinx1+cosxdx Substitute 1+cosx=t→-sinxdx=dt→sinxdx=-dt in I:…

Q: 3. Given that 2 = 6²¹ sin (u + ), e2v Use chain rule to find az/0x when x = 0, y = 0. u=e¹ - sin (y…

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Q: Find L{(t- 2) (3 cos 5t + 1)}. COS 3(s2-25) (s²+25)? 30 | s2 s2 +25 6. 3 g3 s2 s2 +25 s(s² +25) 6s…

A: Find the Laplace transform of  L{(t-2)(3cos5t+1)}

Q: 3 Q19- if z =- 4x³y sin sin (x³y) əz find əx

A: We want to find partial derivative of the given function.

Q: (7 cos° t dt 2

A: ∫0π/2 cos9tdt ∫0π/2 cost(1-sin2t )4dt here lets substitute that sint = u du/dt = cost du = costdt…

Q: Suppose the true relationship of Y and X, Z is given by 1. Yi = B1Xi + B2Zi + ei under classical…

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Q: Find the value of zr» at the point (0, 3, 2) where a²y² + 2² – cos(ryz) = 10.

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Q: 4) Find when y2 – x² + cos(x + y) = 0

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Q: 1. If y = cos(2t + 5) find using chain rule dt

A: Giveny=cos(2t+5)

Q: 9. Evaluate ſ,(cos x – 1) dx. Tt/2 - π/2

A: topic - definite integral

Q: 2. If y = 3 sin(2x + 3) show that y" + 4y = 0

A: Given function is: y=3sin(2x+3) To show y''+4y=0 Finding first derivative of  given function:…

Q: Find the general solution of the given linear diff eq. y'' - y = cos(x) - 5sin(2x) by VARIATION OF…

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Q: 3) e4x = sin(3x + 4y)

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Q: Q1\ Differentiate the following 1)2xsin-13x x+1 2)y = In Vx-2 1 3)y = sin-1 2x

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Q: Solve the diffesential equation 2ber 十X

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Q: Find the general solution of the following first-order ODE xy' = y + 2x' sin² (2)

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