Using Laplace Transform, solve the following differential equation " -9y = ebt, y(0) = 0, y' (0) = –2 99 -5t | اخترأحد الخيارات et2 +5 -2t 16 -5t .a - 16 e 14 3t 32 6. -2t e 32 -5t e 32 .b - - -5 3t e 16 4 -3t e 16 |1 16 -5t .c 14 2t 20 9. -2t e 30 -4t 30 -

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A: We solve the differential equation by finding Integrating factor method. For the standard first…

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A: Solution: The objective is to find the complementary function of the given differential equation

Q: Prove that the differential equation is not exact ey (e" + ") - s/ = 0 2+ + -

A: Exact diffretaial equation

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A: For part (1) We have to find out the second order differential equation of y=asinθ,x=acosθ Use…

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A: We first obtain Dy, D2y, D3y, D4y, D5y for given particular solution y. Then we find which of the…

Q: - Transform y' =- to a possible standard form of first ordered linear differential equation. *+G-1)…

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Q: Solve the differential equation (d2y/dx2) - 7dy/dt = 0 if y(0) = 1, and dy(0)/dt = 1 A.…

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Q: Form the differential equation for the function 2xy asin2x-bcos2x O a xy" -2y = -4y Ob.xy" + 2y=…

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Q: 5

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Q: Form a differential equation by eliminating arbitrary Function. Z= (x + y)f(x² + y² ) %3D

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Q: (군2-1) 을 + 2y3 (+ 1)°

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Q: Using the Laplace transform method, solve for t > 0 the following differential equation: d²x dx +3-…

A: The solution is given as

Q: product rule to 3. Use the substitution uy to solve the differential equation xy' + 5y = 3ay

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Q: The slope field for the equation y' = -x -y is shown below On a print out of this slope field,…

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Q: Solve the ODE with differentials operator (D²+4)y= cos(2x) + cos (4x)

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