What is the characteristic equation of d^2y/dt^2 -7dy/dt +10y = u? d²y dy -7 dt² dt + 10y = = U

Q: Solve system of linear DEs  dx/dt+dy/dt+2y+6y=2e^t 2dx/dt+3dy/dt+3x+8y=-1

A: To solve dxdt+dydt+2x+6y=2et2dxdt+3dydt+3x+8y=-1

Q: Find dy/dt and d^2y/dt^2 for function aln(y)+b cos^2(ty)=2t^3 where a  and b are certain constants.

A: Derivative two times simultaneously and use the forma for derivative

Q: (du/dt)^3 – (du/dt)^2 – 2u = 0

A: Given: (du/dt)^3 – (du/dt)^2 – 2u = 0 Find : solve the differential equation

Q: Where did you get dy/dx(16x^2y + 16y^3 - 8xy) from

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Q: Find the general solution to the following Bernoulli Equation: dy/dt - y/2t^(2) = te^(-1/t) / y…

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Q: 3) у %3D 2u* + 1 x = 5u? – 5u -

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Q: Solve (D - D’-1)(D - D’-2)z = e3x-y

A: Given: D-D'-1D-D'-2z=e3x-y

Q: Question 2 Determine the general solution. x (dy/dx) = 2 - 4x^3. O y=lnx-(1/3) x^2 + c Oy=2…

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Q: (D^3 + 2D^2 + 12D - 40)y=0 when x=0, y=0, y'=1, y''=0

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Q: (xy^2- y^2+x-1)dx + (x^2y-2xy + x ^2+2y-2x+2)dy = 0 Start by using seperable equations.

A: given a differential equation,here need to solve this differential equation by seperation of the…

Q: (x-2)²(x³-4) y = Vx2+1 dy If then equals to : dx O y [2/(x-2)+(3x^2)/(x^3-4)-2x/(3x^2+3)] O…

A: The formulas which are used to solve the above problem are stated with the solution.

Q: Question 1 what is the integrating factor of 2 (y - 4x^2) dx + xdy = 0 (A) 2x^2 B) X^2 C) X D) 2x

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Q: Jse variation of parameters to find a solution o the given system: dx/dt%3D2Y+2…

A: Given system isdxdt = 2y+2 ; dydt = -x+3y+e-3t ; can be reduced asx'y' = 02-13xy+2e-3tis of the form…

Q: What is general solution of v = ds/dt if v = 2/t^3/2? a.-4/t^1/2 = s^2 + c b.-4/t^1/2 = s + c^2…

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Q: is A+Ce^(-kt) a general or particular solution to the DE dT/dt=k(A-T)

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Q: y" + 2y' + 2y = 3te^(2t)

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Q: Find general solution to Cauchy-Euler equation: (t^2)y''-2ty'-3y=t^2

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Q: What is the derivative y^2 = 64 with respect to t? O 2x dx/dt + 2y dy/dt = 0 O 2x dx/dt + 2y dy/dt =…

A: Given that,  x2+y2=64

Q: Find the general solution to the linear ODE. Use each method (integrating factors and educated…

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Q: what is the general solution of d^3x/dt^3 - 19 dx/dt + 30=0

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Q: Find the general solution to this exact equation: y + (2ty-e^(-2y) ) dy/dt = 0

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Q: %3D у — Зу + Зу - у %3D 4е" y y =

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Q: (бх - Зу +2)dk - (2xх - у -1) dy 3D0 |

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Q: Determine whether the given equation is separable, linear, neither or both.  (t^2+1)dy/dt=yt-y

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Q: Sketch the phase plane for x = x + 2y, y = 4|x| + Зу.

A: Here, we need to sketch the phase plane x˙=x+2y, y˙=4|x|+3y. Let us first find the critical points.…

Q: e'dy + (5t + ye')dt = 0.

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Q: solve  t*du/dt = u-t*e^t*u^2

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