Which of the following nonhomogeneous equation cannot be solved the method of undetermined coefficient? y" + = 5e-2 5y + 6y %3D x²y" - xy' Inx O y"-xy = sin.x y"-4y cosh 2x %3D y" -y' = sec x

Q: CALCULATE USING A HOMOGENOUS EQUATION. GIVE THE GENERAL AND PARTICULAR SOLUTION. SOLVE NUMBER 3 THE…

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Q: Solve using the Method of Coefficients: y'' + 3y' + 2y = 7 cos x - sin x

A: The given differential equation

Q: Exact Differe ntial Equation: x(3xy – 4y +6 kdx + (x² – 6x²y² -1\ty=0

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Q: 2. ye*dx + e*dy = 0

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Q: dy -y'sinx is: dx The solution of Select one: a. y3cosx+ C O b. %3D COSX-C C. V=3 CO5X + C d.…

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Q: 2. (Dª + 4D²) y = 48x + 96 sin 2x

A: Given: D4+4D2y=48x+96 sin 2x   Solution: A linear non-homogenous ODE with constant coefficients has…

Q: 3. Find all solutions of the DE y"-12 y'+36 y=16 te (where t is a real constant) 6 x

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Q: sinx

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Q: +3x2 b. Find (y)? = sin³(cos³(* *3*)) %3D dx 2

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Q: (Sin ² x - y) dx - tanx dy =o

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Q: (x + 2)sinydx + xcosydy = 0 Find the general solution of the equation.

A: General Solution of the inverse sine function: The general solution of sin x = a is given by, The…

Q: dy Solve sin -1 | = x +y dx,

A: Sin-1(dy/ dx) = x+y => dy/ dx = sin(x+y).

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.