What is the solution of the differential equation (D³ + 3D² +3D+2) y = 0 ? 0y=Cie O O -2x + C₂e * cos+ C3e-7 sin r 2 3 y = C₁ e 2 +₂ezz C₂e™ 200 y = C₁e-2 + C₂ √³x COS x + Сzez sin sin X 3 2 cosa + С3-² sin COS T x -X Oy=C₁e-2 + C₂e cos √3x + C3e sin √3x V

Q: y(s) =. (s+2)² +1 e" (cost – 2 sin t) -2t e" (cos t – 2 sin t) O A.) O B.)

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Q: (b) у" — 2у + у 3 еt sin(z)

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Q: What is the solution to the differential equation 2√√ay- da Oy = ( ² √₂-2) ? 3 Oy=(2²√x - 2) ³ 1 =…

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Q: Solve using homogeneous differential equations

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Q: The complementary function of the differential equation d²y dx² 2 + 3x +y= dy dx 1 is (1-x)²

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Q: The complementary function(C.F.) of the differential equation (D² + 6D+18)y=x is_ -37 (c1 cos 3x +…

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Q: The complementary function(C.F.) of the differential equation (D2 + 6D+ 18)y= z is_

A: In this question, we have find the complementary function for the differential equation.

Q: (x²+y)dx + dy 0

A: This linear differential equation

Q: Equation y" - 2y + 2y = exsinx (5) (21 2 2 Appropriate Form of the Particular Solution

A: We need to solve Differential equation. As per Bartleby guidelines we can solve one question from…

Q: (cos y + y cos x) dx - (x siny - sinx) dy = 0

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Q: Find the differential of the function z=2x'y %3D

A: If z is a function of two variables defined by z=f(x,y) then the differential dz or total…

Q: Find the solution. y'= 1 + 3ytanx (A) 3y tan³x=c+ 3sinx-cos³x B 3y cos³x=c+3sinx - sin ³x D 3y…

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Q: dy _ x? +y° ,2x,2y+ 2 Solve the differential equation: dx ху,х,у+1

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Q: Solve the exact differential equation ( - 2 sin(x) – y sin(x) + 4 cos(x))dx + (cos(x))dy = 0 where…

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Q: What is the general solution to the differential equation A B C y = arcsin (esin 2) + C y =…

A: The given differential equation is:dydx=cos(x) esin xcos(y)

Q: ly- cos? x) dx+ cos xdy = 0

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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: y(5)_y(3) = e²+2x²-5 y(4) + 5y" + 4y = sinx + cos2x

A: Given: The equations are y5-y3=e2+2x2-5 and y4+5y''+4y=sin x+ cos 2x. The objective is to find the…

Q: 1. Solve the differential equation d²x dt² (a) = 10- d²x dx dx dt (b) (c) 3- dt (d dt² = ď²x dx dt²…

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Q: Find the solution. (D³ +7D2 + 19D + 13)y =0; when x =0, y=0. y' =2, y"=-12 A y = e-2'sin3x B y =…

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Q: SOLVE FOR the differential equations 15) (2x - 5y + 12) dx + (7x - 4y +15) dy = 0

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Q: Q2: Solve the differential equations: dy y %3D = tan y 1- dx

A: As it is a multiple type question , so I am just solving the first one 1) The differential equation…

Q: Given the differential equation: D´(sin x- cos x+ 3e* +x²) What is the fourth derivative? a - sin…

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Q: The complementary function(C.F.) of the differential equation(D – 3)°y=sin 3x is O (ci + c2z +…

A: Solution: The objective is to find the complementary solution of the given differential equation

Q: Solve the Bernoulli's equation given below: dy 2 dx -y cot2x = y' csc2x O A. [(y )^(- 2)] sin 2x = -…

A: Use Bernoulli theorem to solve

Q: Solve the given differential equation. 2ydx-2xdy + x' dx = 9dx

A: Here we have to solve the given differential equation.