1: The wavefunction for a particle that is confined to 0 sxS0.3 is: 4(x) = e. Find the normalised constant.

Q: find the differential equation of y =C1cos(w+C2), w is A PARAMETER

A: To find the differential equation.

Q: 3.u 3.Use differentials to approximate the value of v99.4

A: In this question we have to find the approximation value of 99.4

Q: Q.5.Suppose that a projectile is launched straight upwad from the initial position with initial…

A: Given data:- The given initial velocity, v0>0 The given differential equation, dvdt=-g1+ρgv2…

Q: Given a function : E = 1/2 mv^2 + 1/2 kx^2 Where, x = A cos(wt) v = dx/dt k= mw^2 A, w are constants…

A: Given information: The function is E=12mv2+12kx2, and the value of x=A cos(wt), v=dxdt and k=mw2. To…

Q: Oy' = x + y Oy = y +1 O y = y? + 1

A: The direction field of graph y'=x +y is given by

Q: Q4: Solve the following wave partial differential equation of the vibration of string for y(x,t).

A:

Q: The charge g= g(t) in the capacitor in an RLC circuit satisfies the differential equation da 800 dt…

A:

Q: (2² + y?) da + aydy = 0 %3D O Option 1 O Option 2 1. Option 3 Option 4

A:

Q: This nonlinear differential equation, which describes wave mo- tion on shallow water surfaces, is…

A:

Q: X' (t) = X(t) where X(t) = (8) 3 - [4 -3 8'(t) :

A:

Q: Solve the solution of the DE of the Gompertz function: dP = c ln| dt In[P

A: To solve the given Differential Equations.

Q: A cylindrical tank initially contains 400 liters of fluid with 90 grams of salt dissolved in it.…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t

Q: Match the differential equation with the appropriate slope field. y' = \ OA) B) |||||IVAA -411111 Y…

A:

Q: The temperature distribution of a long, thin aluminium rod with a length of 12 cm can be determined…

A: The heat equation k∂2u∂x2=∂u∂t---1 is given with k=0.835cm2s-1, ∆x=2cm, ∆t=0.1s, t≥0. The B.C's are…

Q: 1. Find the total differential dw. 2. w = re2u +e-V

A:

Q: Find a general solution to the given differential equ y"+5y'+ 6y = 0

A: topic - differential equation

Q: The solution of the differential equation using Laplace transform dy 10y = 12e is %3D given that…

A:

Q: 15. Use differentials to approximate V26.

A: To approximate263

Q: In the process of finding the orthogonal trajectories, a student determined that the differential…

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Q: Consider the initial value problem y′′+γy′+y=δ(t−1),y(0)=0,y′(0)=0 where γ is the damping…

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Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

A: Given:       y dy/dx = -x       y(1) = 1

Q: Find the general solutioxn of y′ + y = e.

A: We have to find general solution of y'+y=e Solution: Given differential equation can be written as:…

Q: A 1/8-kg mass is attached to a spring with stiffness 16N/m. The damping constant for the system is…

A: In this question, we established a differential equation and solve that with given initial…

Q: A direction field of the differential equation y= y – e² is given as follows: Select one: O True O…

A: The direction filed given if FALSE

Q: Sove the differential equation for u: du/dt = e6u+4t Initial condition: u(0) = 17

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Q: find the third-order differentials z=e^x * cos y

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Q: The two-dimensional Laplace equation, = 0, describes potentials and steady-state temperature…

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Q: B- The velocity of a particle v (msec-¹) at time t(sec) satisfies the differential dv equation…

A: We have given differential equation  tdvdt=v+t dvdt=vt+tt dvdt-vt=1 Comparing this with differential…

Q: Find the integrating factor of the following linear differential equation dP _ rt p. 100 dt Select…

A:

Q: a) By using the Laplace transform, solve the following differential equation 5 UTM ) = 0, y'(0) = 1.…

A: The solution is given as

Q: 3. In the linear regression model Y₁ Bo+B₁X₁+Ei, an alternate estimator Y Â₁=X. State all the CLRM…

A: x explanatory variable y Dependent variable The equation of the linear model is y = β0+β1xi+εi…

Q: Which of the following function can be used as an integrating factor for the non-exact differential…

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Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

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Q: Find a general solution of the following differential equation using Laplace transform. y" +y = cost…

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Q: 1. How many stable equilibria does the following autonomous differential e y' = y³ + 4y² + 4y

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Q: Solve the following linear differential equation using Laplace transform y"' + y' = e* with an…

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Q: 16. Use differentials (that is, linear approximation) to approximate: V3.9 – e0.05

A:

Q: 7. Given a set of N concentration measurements C, at times t, set up the formulas for numerically…

A: We will solve this question using basic knowledge of trapezoidal rule only. Recall that for some "n"…

Q: Plot the phase line of the following equation and discuss its qualitative implication dy/dt = y2-y-6

A: Derivative of the function f(y) is the measure of how fast the function is changing with respect to…

Q: What is the direction field for the differential equation below: dy_ y-x = dx 2

A: Given differential equation is dydx=y-x2 We need to find the required direction field for this…

Q: Find the general solution of the following linear second order inhomogeneous O.D.E.: ý - y = e*

A:

Q: Solve the following initial-value problem, determine the type of the equilibriui Lon (0,0) , and…

A: Introduction: A system of differential equtaion can be solved using the matrix method. First, we…

Q: QUESTION 4 Given f(x) = 8x³ + 2x. Estimate the value of ƒ(2.01) using differential. %3D

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Q: Consider the direction field below for a differential equation. U

A: Given,

Q: Find the differential equation of the family of curves y = mx + b where m = b.*

A: We have to solve given problem:

Q: 3. A model for the velocity v at time t of a certain object falling under the influence of gravity…

A: The equation of the certain object in viscous medium is given by dv/dt = 1 - v/8

Q: A suitable integrating factor for the linear differential equation ty' + (t-2)y =t. is given by: =…

A: In the given question we need to find suitable integrating factor for the linear differential…

Q: dL kL² In t, L(1) = –1 dt

A: Given differential equation is  dLdt=kL2lnt,        L1=-1