y(4) + 2y" = 2

Q: 3. Show that the given equation is homogeneous. Hence, solve the initial value problem dy (x² +…

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Q: 4. find the given general differential solution, using homogeneous equations with constant…

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A: Here the given differential equation is y''-12y'+35y=240etWe will solve it by using variation of…

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Q: Solve the given differential Homogeneous, check if it is x²+2y? y' = xy

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Q: find the general solution of the homogeneous differential equation with constant coefficients…

A: find the general solution of the homogeneous differential equation with constant coefficients…

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Q: Which of the following is the homogeneous solution to y" + 6y' + 25y =1 ? –3x (C, cos(4x) + C,…

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Q: Solve the homogeneous second order IVP: d'y 4dy - 5y = 0; y(1)=0, y'(1)=2 dr dt

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Q: (3x² – y²)dx + (xy – x'y-)dy = 0, when x = 0, y = 2 %3D

A: The given homogeneous differential equation is,  3x2-y2dx+xy-x3y-1dy=0 , when x = 0, y = 2.

Q: Use the method of variation of parameters to find a particular solution of the differential equation…

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Q: Use the method of variation of parameters to find a particular solution of the differential equation…

A: For given differential equation we have to find the particular solution                   4y"- 4y'+y…

Q: Use the method of variation of parameters to find a particular solution of the differential equation…

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Q: Given the nonhomogeneous linear DE: y" - 7 y' + 12 y = 30e-2t A) Find the general solution of the…

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Q: xydy = (x2 – 2y2)dx Ans: x*(3y? – x²) = c

A: The given homogeneous differential equation is xydy=x2-2y2dx It can be written as…

Q: = C (x – y)dx + (x + y)dy = 0 Ans:In(x² + y²) + 2 arctan (2)

A: We know that ∫1xdx=ln x+C∫11+x2dx=arctanx+C

Q: y² dx + x(x – 7y) dy = 0

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Q: 1. Consider the DE dy dz dy -5- + 4y = 8x + 2, y(0) = 1 dr Verify that y = Ae + 2x + 3 is a solution…

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Q: 3. Find the 5th order homogeneous linear equation whose general solution is: y = Ci et + c2te* + C3t…

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Q: x*y" +x*y' – 4²y=1.

A: differential equation

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Q: Use the method of variation of parameters to solve the initial value problem fy" - 2ty' + 2y = ?,…

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Q: Show that the equation x3 + y* xy? is both Bernoulli and homogeneous. Solve this equation using the…

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Q: Use the method of variation of parameters to find a particular solution of the differential equation…

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Q: 4. Solve the 2nd-order Homogeneous D.E. y" – 36y = 0

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Q: Use the method of variation of parameters to find a particular solution of the differential equation…

A: Given: Differential equation 4y''-4y'+y=32et2 To find: Solution to the given differential equation…

Q: 17. Obtain the family of solutions and particular solution of the homogeneous equation, y?dx + (x2 +…

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Q: Find the general solution to the DE, given that y1(t) = t+1 and y2(t) =et are solutions of the…

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Q: Find the homogeneous D.E with constant coefficients having the given solution: y(x) =–2x+sin 4x

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Q: solve the given equations using homogeneous differential equations. 10. (3x? – y?)dx + (xy –…

A: (10) Given that the homogenous differential equation is     (3x2-y2)dx + (xy-x3y-1)dy =0 , when x=0,…

Q: Solve the system of the linear differential equation: xl = 4x + y. yl = 2x + 3ywith initial…

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Q: Find the general solution of the 2nd order non-homogeneous DE: y" - y'- 6y = 4xe a. Methods of…

A: Explanation of the solution is given below....

Q: y y(ydx-xdy)ex dx x2

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Q: Find the general solution of x*y' + x°y – 4x²y= 1 given 2, that y1 associated homogeneous equation.…

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Q: Find the general solution of d²y x(x +2) dy + (x + 2)y(x) = x³, dx dx? given that y, (x) = x and…

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A: We have to solve the general or particular solution for the following homogeneous equations (25x +…

Q: Use the method of variation of parameters to find a particular solution of the differential equation…

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Q: find the general solution of the homogeneous differential equation with constant coefficients:…

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Q: Show that the given equation is homogeneous. Hence, solve the initial value problem dy (x² + 2xy) –…

A: We are given  the differential equation,(x2+2xy)dydx-2y2=-x2⇒dydx=-x2+2y2x2+2xy=F(x,y)…

Q: (х+2у) у'-у y у (0)%3D1

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Q: Use the method of variation of parameters to find a particular solution of the differential equation…

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Q: Consider the DE y"+ 10 y' + 21 Y :- e(-32). Since it is linear we can separate the general solution…

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A: The given second order differential equation is y''-7y'+12y=10 sin t+12t+5. Find the general…