Sove the fellowiheg "2 ........ .....A... ...... y(o)=-3

Q: (a) (e* +In (y ))dx ++1 dy = +1 dy = 0 , y (In (2)) =1

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: which followind ode has the solution; y = e²*(Acos x + B sin x) +De* I → y" – 6y' +9y = 0 II → y" –…

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Q: Write the following numbers in a + bi form: (w) –3 (5) (a) –3 + i, (b) (5 – 4i) – (–3 – 5i) = + i, 3…

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Q: Tim The solution of the nonhomogeneous DE x'y" - 2xy' + 2y = 2x + 2 is y=c;x+c,x? + 2x?+x² - 2x'lnx…

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Q: Find an integrating factor that turns the following equation into exact and solve the IVP: (2xy3 +…

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Q: 2y" + 12y + 18y = 0

A: Consider the given information. 2y''+12y'+18y=0 Further, simplify. y''+6y'+9y=0 Now, write the…

Q: (ii) Prove that between any two zeroes of Jnx lie one and only one zero of Jn+1x as well as In-1x.

A: To prove that between any two zeroes of Jnx lie one and only one zero of Jn+1x as well as Jn+1x. To…

Q: # 4 MODELING REAL LIFE A boa constrictor is 18 inches long at birth and grows 8 inches per year.…

A: A boa constrictor is 18 inches long at birth and grows 8 inches per year. Write an equation in…

Q: 4x y"+8xy'+ y=0 solution of the given differantial equation is y = C,x" +C,x" In x → n = ? O A) -3/2…

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Q: If x(t), y(t) solve the initial value problem x'(t) = -2x + 2y + e-", x(0) = 0 у/(0) %3D 2 — Зу.…

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Q: x'y" -x*y" - 2xy' + 6y = 0; y (-1) =-4, y'(-1)=-14, y"(-1)=-20

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Q: 1. Obtain the particular solution when x = 1 and y = 1 5) dx 3 + y 3 dy = 0 y

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Q: A. In each exercise, obtain the family of solution. 3(3x2 + y²) dx – 2xy dy = 0 %3D 1.

A: As it is a multiple type question, so according to the company policies, we can solve only the first…

Q: Calculate the following inverse Laplace transforms: L-' {In (1+ ±)}

A: Inverse Laplace Transform: If fs be the Laplace transform of a function Ft that is Lft=fs, then  Ft…

Q: Ordinary Differential Equations

A: here,mass =3200 lbv(0)=64 ft/s2g=32 ft/s2

Q: Solve the given initial value problem. O x²y² + xy³ = -18 Ox³y² +xy³ = 18 O x³y²+y³ = 45 Ox³y² - xy³…

A: The given differential equation is; dy/dx = - (3x2y+y2)/(2x3+3xy), y(2)=-3.

Q: differential equations

A: Given that, you drop a brick from the top of a building that is 250 meters high. The brick has a…

Q: Question 1 Use Laplace transform to solve the initial value problem y' + 7y = e-7t, y(0) = 5.

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Q: A thermometer reading 70 degree Fahrenheit is placed in an oven preheated to a constant temperature.…

A: The differential equation is dTdt=kT−Tm. ⇒dTT−Tm=kdt Integrate both sides…

Q: Consider the rational function 3-2 F(s) (s? +7)²(s + 12)² Select ALL terms below that occur in the…

A: Given the rational function Fs=s3-2s2+72s+122 Since the denominator has a term with s4 and numerator…

Q: The solution of the nonhomogeneous DE y" – 5y' +4y= 4x+3 is y=x-2 y= cje*+ c,e* + x- 2 y = c;e +…

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Q: Which one of the following gives L{e t²} ? Select one: 2 (s–3)3 2 3 (8–6)³ 2 (s–2)? 1 (s-6)? O None…

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Q: The solution of ä – a = 0 with initial values r(0) = 1, y i(0) = uoi is given by: %3D Select one: O…

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Q: Find the particular solution to y" + 14y' + 49y = 0 which satisfies the initial conditions y(0) = 2…

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Q: M- 07. Consider the following first-order ODE: dy_y dt - 0.5t? from t = 2 to t = 5 with y(2) = 4 (a)…

A: (a) given ODE dydt=yt-0.5t2 from t=2 to t=5 with y2=4 (a) solve with euler's explicit method using…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.