1. In a circuit the resistance is 6 Q and the inductance is 1/4 H. The battery gives a constant voltage of 12 V and the switch is closed when t = 0, so the current starts with I (0) = 0. Find I(t)

Q: 9. Solve the initial value problem dy = cos 5x, y(T) = 3 da

A: The differential equation is given as dydx=cos 5x dy=cos 5x dx

Q: d-The following ordinary differential equation is given, where y = y(x) y′ + (x/2)−(5/x)− 3 = 0 At…

A: y'+x2-5x-3=0⇒y'=3+5x-x2 Take, fx, y=3+5x-x2, x0=1, y0=3, h=5 Formula of Modified Euler's method is…

Q: We know that for some real number k, the function 3ekx is the solution of the second- order…

A: This question can be solved by substituting the value of y in the given differential equation.

Q: Let's plug in some specific numbers for our constants: HP = 0.4H – 0.01H L dt TP –0.3L+0.005H L dt…

A: Given,  dHdt=0.4H-0.01HLdLdt=-0.3L+0.005HL Yes, there are points for which the values of H and L…

Q: B) Solve the Bernoulli differential equation y' – y tan x + y- cOs x =

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Q: Can i get help step by step?

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Q: 1. Solve the Bernoulli equation y' = ey – oy where e and o are positive constants

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Q: 4. For a simple RLC series electric al circuit with R = 1/5 ohm, L = 1 henry, and C farads, the…

A: C d^2I/dt^2 + C/5 dI/dtI=0

Q: n that solves the differential equation d'x =g-kv where dx with the dt .1 and the initial conditions…

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Q: A 30-V emf is connected in series to an inductance of 0.1 henry and a resistance of 50 Q. Initially,…

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Q: Find a solution to the following equation in terms of Bessel functions. y" + 2n²ry = 0 y(x) =

A: Given: The given equation is y''+2n2xy=0 → equation(1)

Q: Initially, there is no current in an RLC circuit with R = 20 Q,L=1 H and C = 0.001 F, and no charge…

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Q: Given an RL circuit having an emf of 5 V, an inductance of 1 H, a resistance of 50 Q, and no initial…

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Q: 1. Use Euler's method to solve the O.D.E ý = x² + 1 4x -y from x = 0 to x = 0.25, step = 0.05 with…

A: Solutions

Q: 3 + e cos 2.x

A: Annihilator of eaxcos(bx) is D2-2aD+(a2+b2). And of xn-1 is Dn, Where D= d/dx

Q: What differential equation corresponds to an RC circuit with a resistor of R = 100 and a capacitor…

A: We will find out the required differential equation for given RC circuit.

Q: a?u Find the particular solution of the differential equation = cos x cos y given the дхду initial…

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Q: Solve the following initial value problem y' + 4y = g(x), y(0)=1 and y'(0)=2 where g(x)is defined as…

A: According to the given information, it is required to solve the initial value problem.

Q: the particular solution of the following nonhomogeneous D.E y''-2y'+y=4x^2+e^x     by undetermined…

A: Solve ( d^2 y(x))/( dx^2) - 2 ( dy(x))/( dx) + y(x) = e^x + 4 x^2: The general solution will be the…

Q: 2. Use an appropriate method to find the general solution of the following differential equat (a) y"…

A: According to our guideline, we can solve only first question of multiple question. We solve here…

Q: If ä – i – 6x = 0 with x(0) = 1 and (0) = a, determine the value(s) of a such that the solution…

A: Given,        x¨-x˙-6x=0   with  x(0)=1    and    x˙(0)=a

Q: Suppose y(*) is the solution to the following initial value problem: dy + 6 °y = cos(a)e(-), y(0) =…

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Q: Given the following ordinary differential equation   y'=4y What is a solution for  y(x) such that…

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Q: Solve the following Initial value problem:  xcos2 (y)dx + tany dy = 0, y(3) = 5

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Q: Find the particular solution of + 2y = e¬6t with initial condition y(0) = 1. dt All calculus and…

A: The solution for the linear differential equation of the form dydt+Pty=Qt is yt×IF=∫Qt×IFdt+C where,…

Q: 4. Find the explicit result for function y (i.e. function y = an function in term of x) of the…

A: (4) Given differential equation is  dydx=3xy+x2y                         y0=-4 It can be written as…

Q: Solve the following Bernoulli’s differential equations 2ydx + x (x^2 ln y - 1)  dy = 0

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Q: 11. Suppose the CO₂ levels in the atmosphere (in ppm) can be modeled by the differential dA dt…

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Q: 2) Suppose A is a constant such that Ae2a is a solution to the DE y' + 4y + 3y = e2a. Find the…

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Q: Given an RL circuit having an emf of 5 V, an inductance of 1 H, a resistance of 50 Q, and no initial…

A: We need to choose correct option.

Q: What differential equation corresponds to an RC circuit with a resistor of R = 10n and a capacitor…

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Q: b) Find the temperature u(x,t) from the heat equation in a laterally insulated copper bar 80 cm long…

A: Given a=80 cm, c2=1.158cm2/sec Thermal conductivity N copper 1c=0.95 col…

Q: An RL circuit has an emf given (in volts) by 5sin 3t, a resistance of 6 ohms, an inductance of 0.4…

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Q: ind the solution to the initial-value problem. y' = −6x tan(y), y(0) =  ? 2 y

A: To find the solution of initial value problem

Q: What differential equation corresponds to an RL circuit with a resistor of R = 100 and an inductor…

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Q: For what values of k does the function y = e kx satisfy the differential equation 3y" + 2y'-y=0

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Q: The conversion of cyclobutane (C,H3) to ethylene (CH4) is a first-order reaction. This means that…

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Q: b) Find the temperature u(x,t) from the heat equation in a laterally insulated copper bar 80 cm long…

A: Given:-            To find the temperature u (x, t)  from the heat equation in a laterally insulated…

Q: (16.5) Solve y" – 2y' + 5y = e" sin x using the annihilator approach for the method of undetermined…

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Q: xcos²(y)dx + tan y dy = 0, y(6) =9

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Q: In this problems find a linear differential operator that annihilates the given function. 13x + 9x?…

A: The differential operator Dn annihilates xn-1+ xn-2+…+ x2+x+1. The differential operator D2+α2…

Q: The variables m and n satisfy the differential equation: dn (2n — т) ——3 n; т > 0,п > 0 dm SHOW that…

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Q: c-The following ordinary differential equation is given, where y = y(x) y′ + (x/2)−(5/x)− 3 = 0 At…

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Q: Consider the following initial value problem d 4 y (z) + e" y (x) = cosh (x), y (0) = Without…

A: We have to find the value of first derivative and second derivative when x=0 without solving the…

Q: Solve the Initial Value Problem(I VP) for the following Nonlinear ODE (Bernoulli equation) y' + xy =…

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Q: 1. Use suitable substitution to solve the following differential equations: dy (b) d.x x – y - 1…

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Q: Solve the following initial value problem: y′ = ((ln x)^5)/(xe^y) with y(1) = 0

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Q: (b) Find the number of terms that are to be retained if an accuracy of 10-10 is required in solving…

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Q: Given the following ordinary differential equation y' = 5y What is a solution for y(x) such that it…

A: Solve the given ODE by separation of variables.

Q: 5. Suppose a circuit with a capacitor and resistor connected in series has the differential equation…

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