Use the method of reduction of order to find a second solution to ty''−(6t+4)y'+(9t+12)y=0,  t>0 Given y1(t)=e^(3t)

Q: Find the general solution of xy'-2y=2x^2lnx, x>0. write the answer explicitly

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Q: Put the equation into the form x'(t) = g(t)h(x), and solve by the method of separation of variables.…

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Q: Solve: y''' – 3y'" – 6y' + 8y = 0 %3D y(0) = – 6, y'(0) = - 12, y'"(0) : - 54 %3D y(t) =

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Q: y'-(2/x)y=(y^3)/(x^2) find the solution that satisfies y(1)=1

A: The given differential equation is

Q: Find y' for x^4y^3−3x+2y=24 at the point (−2,1).

A: We have, x4y3−3x+2y=24 Using the chain rule of differentiation,…

Q: olve for y' 1. xy'-y=1-y'

A: Given xy'-y=1-y'Now lets take y to RHS and y' to LHS (Left Hand side)⇒xy'+y'=y+1Lets take y' common…

Q: Find the particular solution for ysqrt(1-x^2) * y'-xsqrt(1-y^2)=0  when y(0)=1

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Q: Find general solution   y’’ + 2y’+ y = 2e^-t (t)^-2

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Q: - 1 Find y' for y=7x7 + 9x¯ y' =

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Q: Find y' for y = 2x - 8x - 6 - 1 y' = %3D

A: As we have to find y', that is derivative of function y with respect to 'x' , just I have used the…

Q: Find y'. y = [In(x5 + 3)]2 y' =

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Q: Find the general solution of the DE: y’’’ - 4y’ = 32xe^2x - 24x^2

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Q: Solve. y'(t) = 2e^2t(c1cost(t)+c2sint(t))+e^2t(-c1sin(t)+c2cos(t), y(0)=0, y'(0)=1

A: General solution of the differential equation