solve the differential equation y" + y = cos(3x) cos(6x) by i. methods of undetermined coefficient ii. variation of parameters

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Q: Sove the differential equation given the condition y(0)=6   dy/dx = (x/y)

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Q: Q-4. Form the first-order differential equation of y = e(sin y+æ)

A: Our aim is to form the first order differential equation.

Q: O Solve the differential equation y' + y cot x = y* sin x.

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Q: c. y' - y cos t = cos t %|

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Q: 5. (y – x)(y + x)(y² + x²)(xdy – ydx) = x°dx

A: Given that, y-xy+xy2+x2xdy-ydx=x6dx. The above differential equation can be re-written as,…

Q: 8. Solve the differential equation (x+y)² dy = a². dx

A: Let x+y=t This implies 1+dydx=dtdx

Q: C1. (a) Solve the nonlinear differential equation x'y-x = v" cos x dx %3D

A: That's easy. Have a great day!!!

Q: Solve the differential equation y' = x + y by making the change of variable u = x + y.

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Q: Solve the exact differential equation ( - 2 sin(x) – y sin(x) + 4 cos(x))dx + (cos(x))dy = 0 where…

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Q: Using variation of parameter solve the given differential equation: y''' + 9y'' + 26y' + 24y = 24x…

A: According to the given information, it is required to find the general solution of the given…

Q: Find the Differential equation by eliminating the arbitrary constant  Sin-1 x + sin-1 y = C

A: sin-1x+sin-1y=C

Q: y' = xcosecr + y cot r.

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Q: Q4: Find the general solution of the differential equation y'+ (tan x)y = sec2 x %3D

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