A racer accelerates from a stop so that its speed is 10t m/s t second after starting how far will the car go in 4 seconds using differential equations? * 40 m 80 m 120 m O 160 m

Q: In Exercise 9.2.28 we discussed a differential equation that models the temperature of a 95°C cup of…

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Q: 62 4 te

A: Explanation of the answer is as follows

Q: Qs: Solve the fallow ing differential equations b) (x+j) dx - Xdy-

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Q: H5: Find the Solution of the Higher-Order Differential Equation? C4)

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Q: Q2\ A-Find a general solution of each of the following differential equations :

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Q: 2. (s-s?-t)ds + (t + s² +t ²)dt = 0

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Q: Qs: Solve the fallow ing differential equations 2.

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Q: 5. y' = (x + y)²

A: Given: y'=(x+y)2

Q: dy yz + yi = 1 when x = 0, y = 4 dx

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Q: How many arbitrary constants can be obtained from the answer if the given y"+y'+6y=9x³+x²-x is…

A: We know, The number of arbitrary constants in the general solution of a differential equation is…

Q: The population of the Philippines in the tear 1986 was 60 million and at 1996 is 65 million. If the…

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Q: Find the general solution of the differential equation except when the item stipulates otherwise.…

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Q: у" — 6у' +9 %3D0

A: The given differential equation is y''-6y'+9=0 Rewrite the equation y''-6y'=-9 find the…

Q: Solve the differential equation (D² – 4D + 4) = 8x² +e* %3D

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Q: Which one is the differential equation if its solution is y= acoSx-bsinx O a. y"-y' 0 O b. None of…

A: To find the differential equation whose solution is represented as: y=acosx−bsinx

Q: Solve the differential equation dr dr 6-+9x=0; when t=0, x=2 and =0. dr dr2 dr

A: The given differential equation is                             d2xdt2-6dxdt+9x=0  with         when…

Q: The function x²y=4+Cy is the solution to the Differential Equation 2y'+xy²=0 Note: C is arbitrary…

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Q: 5. у'+2у %3D х2

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Q: Solve the differential equation dR a(R + 9). dz

A: Given differential equation  dRdx=aR2+9dRR2+9=adx Integrating both sides, we get…

Q: Determine whether given differential equation is exact. If it is, find the solution. 1 10. (5y – 2x)…

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Q: 2. (D - 2)ły = 0

A: Given differential equation is-  (D-2)3y =0

Q: 3. my²dx + m?ydy = 0

A: The simplification of the given equation helps to find the solution of the equation. Simplify the…

Q: Solve the differential equations. ii. ду? 4x²y = e²y -

A: The given differential equation is                                     ∂2u∂y2-4x2y=e2y

Q: H6: Find the Solution of the Higher-Order Differential Equation? ダープ (4) 4x +2x ē* %3D e

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Q: Solve the differential equations: (a) = 4x+2x+5 where V(1) = 10 .

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 2. Solve the differential equation given that h(1) = -4.

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Q: p² + p – 6 = 0

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Q: Solve the differential equation when = 5(10 – P) if P = 2 when t = 0.

A: Solving the problem by solving the diff equation.

Q: ydx-xdy=0    What is the solution of the differential equation

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Q: Vy 1 5:A- Solve the differential equations 2xy+

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Q: у" - у" %3 у' — у After showing that the three solutions of the differential equation are e*, e-*…

A: See the attachment.

Q: Find the general solution of the differential equation except when the item stipulates otherwise.…

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Q: . (D² + *. + D)y = 6 + 3 e²

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Q: Determine if the function is a solution to the given differential equation. y = solves y' = x8 True…

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Q: Solve the differential equation 3y + = 2. O a. y = -2 -2² / ○ b. y = - ○ C. y=+

A: Given differential equation, dydx+3yx=x The objective is to solve the differential equation.

Q: Solve the differential equation y? 3x dr

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Q: Solve the differential equation. (Use C for any needed constant.) 7 + Vr 7 + Vu du dr

A: Given differential equation,

Q: Determine whether given differential equation is exact. If it is, find the solution. (5у — 2м) у' —…

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Q: 5. Solve the differential equation = 2y+e* , subject to y(0)=4. xp

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Q: 4. Зx? 3x+- 8(y + 1) = 0 y+1

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Q: + 2ry =2e- %3D

A: The question isn't complete. Please resubmit the question with correct question. It is solved for…

Q: Verify that the given function is a solution to the given differential equation у — x3 solves y' =…

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Q: . Solve for the differential equations and get the general solution. Simplify your answer free from…

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Q: PLease Solve the differential equation   (D2+4D+3)b=1+2a+3a2  (b and a are variables)

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Q: Solve the differential equation for general solution 7y6dy = 8x

A: Given query is to find the solution of the differential equation.

Q: (1 0 7. X' = |2 2 1 X 0 1

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Q: Solve the differential equation. (t-8)°s'+4(t-8) s=t+8, t>8

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Q: 4 (10x3 + 15x² -7y2 - 14xy )dx tx(Sx?- 21y²) dys0

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Q: Solve the given differential equation by undetermined coefficients. y" + 2y' = 2x + 3 - e-2x

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