Solve the following differential equation ý +y= , y(0) = 0, y (0) = 1 sin sin cos1 + ain 3 sin t y() %3D -21 cost+ sin t %3D 1 O y(t) = 1 1 sin t Cos t -

Q: 2. Solve the Second order differential equation d'y dy -4 +11y=e* sin 4x. dx dx?

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Q: I. SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos³x – 1) dx = 0 2. xy' =2xex…

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Q: Find the particular solutions of the given differential equation dy dz 2 cos a sin a given y = 1…

A: 1. Sin(2A)=2sin(A)cos(A). 2. Sin²A+Cos²A=1.

Q: Find the general solution of the following differential equations: (y² + 3)dx – () ydy = 0 - (cos(x…

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Q: 1. Find the general solution of the differential equation (1+ 9x²) cos y dy – 3(1+ sin y) dr = 0.

A: we have to solve this by separation of variable

Q: Find the value of k so that the differential equation (6ry³ + cos y) dr + (2kz²y² – 1 sin y) dy = 0…

A: we have to find the value of k when the given equation is exact            (6xy3 +cosy)dx…

Q: Solve the separable differential equation dy -0.1 %3D dx cos(y) and find the particular solution…

A: Given: A differential equation is given by: ⇒dydx=-0.1cos(y) Initial condition is given by: ⇒y(0)=π2

Q: (y3 + y + 1)dx + x(x − 3y2 − 1)dy = 0

A: Given: (y3 + y + 1)dx + x(x − 3y2 − 1)dy = 0

Q: 2. Solve the following Exact Differential Equation with boundary value y(1) = 1 (x + y)²dx + (2xy +…

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Q: 1. Consider the equation (x + 2e + 2y) dx + (2x + cos y) dy = 0. (a) Show that the equation is…

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Q: 4) ( cos2x + 2xy - xy² ) dx + ( y²e♥ + x? - x²y ) dy = 0 %3D

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Q: 4. Find the particular solution of the differential equation (10x + 6x siny)dx + Vx?…

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Q: 1. Solve the following differential equation a) 3(3x2 + y²)dx – 2xydy = 0 %3D b) (x – y)dx + (3x +…

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Q: The general solution of the differential equation d?y + 6y = sin 4x is dx 2 sin 4x O y = c¡ cos /6x…

A: The given differential equation is d2ydx2+6y=sin 4x. Consider the homogeneous part of the given…

Q: 1. Solve the following Exact Differential Equation : dx 3 1 (2?y3 - + y = 1 1+ 9x2' dy

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Q: 1. Solve the following linear differential equation. D'y - 2Dy – 3y = 2e* - 10 sin x, y(0) = 2;…

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Q: Solve the following differential equations with given initial condition  cos y (dy/dx) = 2/x…

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Q: Q.1 Solve the following differential equations -2xysin(x³)dx + cos(x²)dy=0 (sinycosy+xcos²y)dx +…

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Q: 2. Solve the differential equation as follows: (e4y cos x + 8x³ y³)dx + (4e*y sin x + 6x*y² + 8y)dy…

A: the equation is of the type Mdx+Ndy=0 where M = e4ycosx+8x3y3 and N = 4e4ysinx+6x4y2+8y  calculate…

Q: 1. Solve the following differential equation. a) y/1- y² dx + (x/1- y² + y) dy = 0 . |

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Q: Q.3. Solve the following first order differential equation: (cos y+sin y)² dx Vx²+x+3 cos 2y -dy =…

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Q: 3. Solve the Bernoulli's Differential Equations dy x = y + y°cosx dx

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Q: Solve the following differential equation (y-4x-1) dx-dy=0 Select one: O a Inlx+21+Inlx-21=x+c O b.…

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Q: Solve the following differential equation (y-4x-1) dx-dy=0 Select one: O a Inlx+21+Inlx-2|=x+c O b.…

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Q: Solve the following exact differential equations.   2x dx / y^3 - (y^2 - 3x^2)dy /y^4  = 0

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Q: Solve the following differential equations: 1 (3-) dr + dy = 0, y(-1) = 2. dx + (y 2x) Ty?

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Q: (xy2+x2)dy+ydx=0

A: As per the company rule, we are supposed to solve one problem. Therefore kindly repost the remaining…

Q: The solution of the separable differential equation – x²y² = x² is: dx None of the above…

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Q: The implicit solution of the differential equation (1+ x) dy = (1+ y')dx by using variable separable…

A: The answer and detailed explanation is given below-

Q: Q.1 Solve the following differential equations -2xysin(x²)dx + cos(x³)dy=0 (sinycosy+xcos²y)dx +…

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

Q: 1. Solve the following differential equations by using separable variables. =2-y : y(0)=1 a. dx dy -…

A: Answer and explanation is given below....

Q: Solve the following differential equation 16(x+1)*Y ' +104(x+1)* 4 d*y +96(x+1) 96(x+1)³ d°y…

A: Given equation can be written as by puting  X+1 =ez   Log(x+1) =z [16D(D-1)(D-2)(D-3) +…

Q: 1. Solve the following differential equations. a) dx dy - XVX² +9, y(-4) = 0 b) xy'+ 2y = 3x dy = y…

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Q: Solve the given differential equation: y = 1+3y tan x y cos x = C + 3 sin x sin x 3y cos³ x = C + 3…

A: Solution

Q: 2. Find the particular solution of the differential equation (1 – cos(2t)). dt da a sin(2t) given…

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Q: solve the following implicit ordinary differential equations. cos x cos y y': sin x sin y y (0) = 0…

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Q: 2. Solve the Second order differential equation d y dy 4+11 y = e“ sin 4x. dx

A: Given differential equation, d2ydx2-4dydx+11y=e-2xsin4x This can be written as D2-4D+11y=e-2xsin4x

Q: Find the general and special solution of .the differential equations X cos^2 Y dx +tany dy=0

A: By Separation of variable we can solve the problem.

Q: 5. Show that the following differential equations are exact. (b) (2ye* +cos x)dy –(e¯*y² – y sin…

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Q: a) # - y(0) = 0 %3! 2y+cos y b) r²y + ry = 1 r>0 y(1) = 2

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Q: Q1 Solve the following differential equations 2x(x²– sin y+1) dx + (x²+1) cos ydy=0 1) cos(r)y' +…

A: According to our guidelines we can answer only one question and rest can be reposted .

Q: У(у + 2х — 2)dх — 2(х + у)dy %3D 0 -

A: The solution is given as

Q: The solution of the following non exact differential equation (cos x) dx + (1 + ² sin x)dy = 0 is: O…

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Q: Solve the differential equation y' = e4Y sin(5x) and choose the correct answer from the following…

A: Given:- y'=e4y sin(5x)  To find:- General solution of given differential equation

Q: The solution of the following separable differential equation x²y-y ア=リーン y' with y(3) = -1 is y+1…

A: Given,          y'=x2y-yy+1 with y3=-1

Q: Solve the following differential equation sinה 1x6 y'+y= y(1)= 4, Select one: O a. y(x)=. (6cos…

A: In the given question we have to choose the correct option from the given options. we have to solve…

Q: Solve the following differential equations: a- cos (x+y) dx +(3y2 +2y +cos (x + y) dy=0 b- y = (x +…

A: Given a- cos (x+y) dx +(3y² +2y +cos (x + y) )dy =0 b-y'=(x+1)e-xy2

Q: Find the general solution of the following differential equation: (sin x)y' + (cos x)y = ex Then…

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