Find the general solution of dy 3 -my – ny | dt

Q: Find an explicit solution of the given initial-value problem. dx dt 8(x² + 1), ×(Z) = 1 4

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Q: Find the solution to the initial-value problem. dy = y³xe*, y(0) = 1 dx II

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Q: The general solution to the DE (dy/dx) + Py = 0 is ________

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Q: Solve the initial value problems d3r/dt3 = -cos t; r''(0) = r'(0) = 0, r (0) = -1

A: Given: Initial Value problem To Find: Solution of the above differential equation

Q: Find the general solution of dy -my – ny³ dt by making a suitable substitution that transforms the…

A: Differential equation

Q: Find an explicit solution of the given initial-value problem. x2dy 3D у - ху, у(-1)%3D -4 dx

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Q: dy 2 %3D

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Q: 23. The solution of the initial value problem y dt + (2y² + 1) (cos t)?dy = 0, y(0) = 1 is %3D

A: The given equation is: ydt+2y2+1cost2dy=0 and the initial condition is  y0=1. To find the solution…

Q: Find a particular solution to y" + 5y' + 6y = lte".

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Q: 2. Verify that y = -t cos t – t is a solution of the initial-value problem dy = y + t²sin t dt y(7)…

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Q: 1. Find the general solution of dy dx + y = x

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Q: Find the general solution of dy xy = 1+ y?

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Q: Find an explicit solution of the given initial-value problem. dx dt = 7(x² + 1), x(7) = 1 X ||

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Q: Solve the initial-value problem. dy t + 3y = t, t > 0, y(1) = 0 dt %3D

A: First I have written the given differential equation into the form of first order linear…

Q: dy (x + 1)+ y = In x ;y(1) = 0 %3D

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Q: 2. Give the general solution of xy'dy = (x³ +y³)dx in explicit form.

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Q: Find the general solution of (a) dy = ty(1+ t²)-1/2 dt (b) fip' dt + (t + 2)y = 1

A: To find the general solutions of given differential equations

Q: 2. Find the general solution of d²y dy +5- dr.² dx 6y=0

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Q: Find an explicit solution of the given initial-value problem. dx - 3(x² + 1), xG) = 1 dt

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Q: 1. Find the general solution of dy dx +y=x

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Q: 10. Solve the initial value problem dy dy +8 -9y 0 y(1) = 1, y'(1) = 0. %3D dt2 dt

A: We have given initial value problem, d2ydt2 + 8dydt - 9y =0 It's Auxiliary equation is given by, m2…

Q: I(x) = /, (In(t))² e-(t-1)* dt - 3x

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Q: 4. Find the solution of the following set of simultaneous equations by LT with initial conditions…

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Q: 6. Find the general solution to the DE. Show all of your work. dy =-0.2y+10 dt

A: Particular Differential Equation: A differential equation which is either in the form of , then the…

Q: Please help. State P(x), Q(x), and integrating factor v(x).

A: Given,

Q: Find the general solution of the Bernoulli equation 2yy′= y^2+ t + 1.

A: To solve given differential equation first we solve for rearrange the equation in the form of first…

Q: Solve the Initial Value Problem. (1 – 3t)– dy - у %3D 0, у(2) %3D —4 dt

A: The given differential equation is 1-3tdydt-y=0...(1) The initial condition is y2=-4.

Q: Find the general solution of DE:  1. (x-4y-3)dx - (x-6y-5) dy = 0

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Q: 3. Use the Modified Euler method to approximate the solution to the following initial-value problem:…

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Q: Solve the given initial-value problem dV = -3V +51, dt dl dt =-V + 21. subject to the initial…

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Q: Find the general solution of d²y dt² + dy + 20y=e-2t sin(4t).

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Q: Find a general solution to the given Cauchy-Euler equation for t> 0. dy +31- 63y 0 dt dr?

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Q: 4. Find the solution of the following set of simultaneous equations by LT with initial conditions…

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Q: What is the general solution to the follwoing equation: (4t+5y+4)dt-dy=0

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Q: compute the first three successive approximations to the solution of the ini- tial value problem dx…

A: Given: dxdy=2x-yand x0=1 We have to find the first three successive approximations for the given…

Q: Find the solution of ty -1 dt t'y 1 dy = 0 ty? O In t + 1 C ty %3D O -t-2 + 1 = C ty %3D Ct

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Q: Obtain the general solution to the equation. (3t + 4y + 2)dt – dy = 0

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Q: Solve the Bernoulli's DE: y' = y - xy3e2X.

A: Given differential equation is y' = y - xy3e-2x

Q: Solve the following initial value problem dy dt + 7y = u2(t), y(0) = 3

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Q: (2xy +y) dx + (x²- x ) dy = 0

A: Given: (2xy+y)dx+(x2-x)dy=0, y(0)=e

Q: Solve the given initial-value problem. dx1 X, (t) with x, (0) = - 1 and x2(0) = - 2. X2 (t) dt 4 7 -…

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Q: Solve the initial-value problem. +3dy + 3t²y = 8 cos(t), y(t) = 0 dt

A: We have to solve this initial value problem.

Q: Find the solution of the initial value problem dy =Vx + x, dr у (4) - 0

A: ∫xndx=xn+1n+1+C

Q: 2. Give the general solution of xy dy = (x³ + y³)dx in explicit form.

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Q: Find the general solution of 0= -dy/dt -py-qy^5 by making a suitable substitution that transforms…

A: Given:- 0=-dy/dx-py-qy5 To find:- General solution of given differential equation

Q: 4. Find the general solution of (x + y³) dx = 3xy² dy

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Q: Find an explicit solution of the given initial-value problem. dx/dt = 7(x2 + 1),    x x(?/4) = 1

A: Given an initial value problem : dxdt=7x2+1 Also x(4)=1 We need to find an explicit solution. Let's…

Q: 2. Obtain the general solution of: xy dx – (x² + 3y²) dy = 0

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