Find the General Solution: y" - 3y' + 2y =4e ** -4x

Q: y” – 10y’ + 25y = 30x+3

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Q: y" − 4y = 10

A: The given differential equation is y" − 4y = 10. Its auxiliary equation is m2-4=0. Obtain the roots…

Q: Find a real general solution 5x^2 y"+23xy′+16.2y=0

A: Consider y=xm and solve using this substitution to obtain the required general solution.

Q: X1+iy,=X2+iy2" ューx,○ X =X ,=y,O *ュ=ソ,○

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Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

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Q: Solve for ‘x’ and ‘y’ where x + y = a – b, ax – by = a2 + b2

A: To solve the equation for x and y.

Q: Eliminate the arbitrary constant. y=Ax 5+ Bx³ A B 7xy "- x²y + 15y = 0 D x²y '- 7xy "+15y = 0…

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Q: Find dy2 of z = 2x – 5xy² + x² y° %3D -

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Q: 1 x² + y² = 4

A: Given: 1x2+y2=4

Q: Find (4z² + 3z")dz -1

A: In this question, we need to find the integral of the given function.

Q: y(4) + 3y" - 4y = 0

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Q: x²r x*r + 2xys + y²t = 0

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Q: y"' – 3y" + 4y = 6+80cos(2x)

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Q: y" – 10y + 25y = e5x

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Q: Solve:  y’’’ – 4y’’ + y’ + 6y = 0

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Q: x = (1- y)*(3y +1) ;y"

A: Answer is given in next step.

Q: Let y = 3e¹ 2x³+e-4z. . Which is y'? You will need to simplify to find the answer.

A: The given function is

Q: y" - 3y' +2y = e4x + 6x3 – 2+ 3sin(4x)

A: We have to find CF and PI

Q: Solve y" - 2y" +9y' - 18y = 0.

A: Given differential equation: We have to find the solution of the given differential equation.

Q: Verify that y = ODE y" + 3y' + 2y = 4x². -4e-x-2e-2x + 2x² - 6x +7 is a solution of the SHOW ALL…

A: We have to verify that y=-4e-x-2e-2x+2x2-6x+7 is a solution of the ordinary differential equation…

Q: y= (2x)(3x+1), find y' none of these answers O 6x+2 O 12x+2 O 12x+3

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Q: -5x y"+ 3y- 10y = - 14 xe

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Q: Use the substitution z = y^2+ t −1 to solve 2yy′= y^2+ t −1

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Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0