Solve the following differential equation by finding yp by inspection: (D^5+4D^3)=7 * O y = C1 + C2x + C3x*2 + C4cos2x + C5sin2x + (7/24)x*5 O y = C1 + C2x + C3x*2 + C4cos2x + C5sin2x + (24/7)x'3 O y = C1 + C2x + C3x*2 + C4cos2x + C5sin2x + (7/24)x'3 O y = C1 + C2x + C3x*2 + C4cos2x + C5sin2x + (24/7)x*5

Q: Which function satisfies the differential equation.  5. 2y - xy1 = 0

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A: Consider the exponential equation in terms of y and x as variables and C and k as constants.…

Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for y2=4ax differentiating this equation with respect to x.

Q: 3. Show the equation (1+ e*y + xye*)dx + (xe* + 2)dy = 0 is exact and solve it.

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Q: Find the general solution of dy/dx=x-4/x^2-5x+6

A: Explanation of the answer is as follows

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Q: Solve the following DE: 3x^3y'=2y(y-3)

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Q: Solve the given equation by separation of variables. dN/dt + N = Nte^t+4

A: The objective of the question is to solve the given differential equation by using the method of…

Q: What is the linear differential equation of dy/dx+2xy+xy^4=0 using dv/dx?

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Q: The differential equation formed by eliminating a and b from y = ae* + be* is

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Q: Find the order and degree of exy" - 3(y¹)² + 2xy = xe^ and write the differential equation in noxmal…

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Q: 2. 4X² 十 二

A: Differential equations

Q: y' = 2x + 2C₁e2x + 3C₂e³x

A: Formation of Differential Equation: When we seek solution to a differential equation, the general…

Q: Find the derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

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Q: Solve the IVP y’=3xy^2

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Q: The solution of the IVP, y' = -2xy, y(0) = 2, is: %3D

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Q: solve for the differential eq   (8x−10xy+4y^2sin^2 (x) )dx=(2ysin2x+5x^2−4xy)dy

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Q: dy/dt + 2y = e^(4t). Using the guessing method because 2 is constant. I need help solving this…

A: Solution of the first order differential equations

Q: Determine which of the following is the particular solution for the differential equation…

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Q: y² = Ax² + B sec x

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Q: Which of the following is the general solution to the equation (2x+9)y" +(2x+7)y-2Y3D0? O a. y=c_1…

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Q: 1−xy)^−2dx+[y^2+x^2(1−xy)^−2]dy=0;y(2)=1

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Q: (4x^4+x^3(y)+y^4)dx+x^4dy=0, Solve for HOMOGENOUS DE

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Q: Find the differential equation or (D^3 + 7D^2 +19D + 13)y = 0

A: ODE

Q: Solve the equation xy^3 dx + e^(x^2) dy = 0.

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Q: Let L= D^2(D^2-9).  Solve for Ly(t) = -2t(^2)*e^(3t) + e^-3t for t  is an element of (-inf,inf)

A: Given: L=D2D2-9 The given differential equation is Lyt=-2t2e3t+e-3t.