3. Which of the following linear differential equations can the method of undetermined coefficients be applied to find a particular solution xp 2 A. y'ex+ye* = x B. y'cos x+ycos.x = sinx C. (D²-1)y=2(1-e*)-1 D. y"+y=tana.. A A B B C с D D

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A: In the question it is asked to calculate (i) The solution for the differential equation…

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A: Let us consider the differential equation of the form dydx=fyx  then to solve the differential…

Q: For which of the following differential equations are the slopes at points on a vertical line t = C…

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Q: Find all solutions of the DE y"– 12 y '+36 y=16 te°* (where t is a real constant)

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Q: 8. Show that the function y = ex (sin 2x + cos 2x) is a solution of the equation y" — 2y' + 5y = 0.

A: The given function is; y=ex(sin2x+cos2x) And the given equation is; y''-2y'+5y=0.

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

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Q: Find the value of a and b for which the given differential equation is exact: *siny + (a - 3)ysinx)…

A: Equation is exact for the values a= 5 and b= -1 Therefore option C is correct

Q: Solve the differential equation. dy y + 1 dx O In |x| – ? () = tan - ex - x + tan-'(x) = C In |x| –…

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Q: h45. Solve for the general solution of y'= sinx + ycotx a. y = (x+ C)sinx b. y = Cxsinx c. y = (x +…

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Q: Compute y' and y". The symbols C₁ and C₂ represent constants. y = C₁ex sin x + C₂ex cos x y'(x) =…

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Q: Solve the differential equation, 2ydy = (3y? cot r +sin rcosr) da sin z- sin 3* y² = C %3D csc z csc…

A: We will find out the required solution

Q: 1. The equation d'x _ ô²x¸ ð°x dy dwy' əw = 3 has the dependent variable x and independent variables…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 3-(cos x)y' =yCv-1) sin x.

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Q: sec y Obtain the solution of the differential equation y' x-4x+5 a. 2 sin y = In(x² – 4x + 5) + C b.…

A: ∫cosx=sinx +c∫dx1+x2=tan-1(x)+cCosx=1secx Given D.E y'=sec(y)/x^2-4x+5

Q: Find the general solution of the given equation. y"-y' - 12y=0 Choose the correct solution below. c,…

A: Short Explanation::-

Q: Show that the function: y = -xcos (x) – x is a solution to the differential equation: dy :) = y + x²…

A: Let's find.

Q: If x'y" + xy'+(x? -y=0 x>0 ,y,=x 2sinx , and y=y,v. Which of the following %3D equations satisfied…

A: Let   y1 and y2be two solutions of the second-order linear differential equation d2ydx2+Pxdydx+Qxy=R…

Q: y= A cos at a solution to y" + 3y = 0 such that y' (1) = 2? %3D

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Q: y. Z. x dy = (y + x² sin x) dx xỹ -y √x² + y² H please solve all Ordinary differential equation

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Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y"-81y'…

A: Sol:- y'''-81y'=te-9t+10cos9tFirst , find the yh:-yh is the solution to the homogeneous ODE…

Q: 3. Find all solutions of the DE y"-12 y'+36 y=16 te (where t is a real constant) 6 x

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Q: 19. The solution of the differential equation cos (2) dx - sin (²) + COS (²)]dy = 0 is A. y sec ² =…

A: Only one question is solved. Solving more than one question is solved in the policy of bartleby.

Q: Is the equation separable, linear, bernoulli, or homogenous? x4 + 4xy2 2x3 + x²y +y³ а. dx b.…

A: Separable equation:   A first order differential equation y’ = f (x, y) is called a separable…

Q: 4. Get the exact a. dy = cos 2x dz differentials of y = (sin 2)² b. dy=sin 2z dz dy = sin 2x d.…

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Q: (cos y+ y.cosx-ec*.sin x)dx+(sin x – xsin y)dy =0 cos.x

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Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x %3D

A: We find the general solution of  y"-y'-6y=e-x-7cos(x).....(1)

Q: Chosse the correct answer. A particular solution of x'' + x' - 2x = 2sin2t is given by: Xp(t) =…

A: Given non-homogeneous differential equation x''+x'-2x=2sin2t    ...(1). We have to find the…

Q: dy What is the general solution to the differential equation dx cos x+sin x 2y for y > 0 ? A cos…

A: topic - differential equations

Q: 7. Consider the differential equation y(1-ysin(x))dx + (2x+3ycos(x))dy = 0. a) Find an appropriate…

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Q: Match the differential equation with its direction field. y' - 8(x + y) - 1 -0.3- -0.2 0.1 0.1 - 0.2…

A: Matching the differential equation with its direction field  y'=8(x+y)-1 x 0 0 0 0 0.1 0.2 0 1/8…

Q: 1. + e*y² = x²y² dy da 2. y + sin x = x³y 3. In x - x²y = xy dy da + cos y tan a

A: