Determine the form of the general solution to the following differential equatio b. y*) + 2ya + 4y- 2y - 5y = 0 c. y + 5y - 36y =-2 cos 3x + 3xe

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Q: d*y dy a) da4 + 4y = 3.x2 dx dy dy b) + 4y = 3x4 dx dx? dy c) dæ? + 4y = 4x3 dx d*y d) dr4 dy + 4y =…

A: The solution is given as

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Q: Which of the following is a homogeneous differential equation ? O dy + py = qy" dx dy 2x – y dx 3x +…

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Q: Which of the following differential equation contains homogeneous terms? A. x dx + (y – 3x2) dy = 0…

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Q: Which of the following equations can be made into a linear differential equation? A (x²y - 3x)dy +…

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Q: Which of the following is not the tran sformation that will transform the differen tial equation y…

A: Given that, y'=-2x-2y+3x+y-5 (A) Take u=-x-y Then  dudx=-1-dydxdydx=-dudx-1 So, the equation written…

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Q: Which of the following differential equation has a solution of y = C,x³ + C2x ? 4y = 3x?y' – x³y" 3y…

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Q: Which of the following differential equations can be solved by utilizing the method of undetermined…

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Q: On your own, verify that the indicated expression is an implicit solution of the given first-order…

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Q: Determine which of the following differential equation is linear O +5 + 2y² = e3= %3D + 5y +2y = 0…

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Q: Which of the following differential equations is a linear? а. y' + ху %3D ху? b. dy + ydx = y²e*dx…

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Q: Solve the following 2nd order Linear homogeneous /non-homogenous differential equation?…

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Q: Which of the following differential equation has a solution as y = cje + c2e + C3xe ? O a. y" – 7y"…

A: Given the solution, to find the differential equation from the auxiliary equation.

Q: Which of the following differential equation has a solution of y = Cqx³ + C2x ? 3y = 4xy" + x²y' 4y…

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Q: Which of the following equations is non homogeneous differential equation? O a. (y + Va? + y²)dx =…

A: We will solve the problem

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Q: Which of the following differential equations can be solved by utilizing the method of undetermined…

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Q: Which of the following differential equations are NOT linear? (a) t^2y'-t^3y=4 (b) ty'y+t-y=0 (c)…

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Q: What is the order and the degree of the following differential equations? 3 (d²y` 1. dx² + 3y () +y…

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Q: Which of the following equations is a linear differential equatio ду at A 4xycos(4t) = 0 +2x dx? dy…

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Q: Use suitable substitution to solve the following differential equations: dy (a) dr = (r + y + 1)? –…

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Q: Which of the following are separable differential equations? OA. dy e(3z+2y) dz dy В. sin(ry) c. V1+…

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

Q: Which of the following equations is non homogeneous differential equation? O a. (y + Va² + y² )dæ =…

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Q: show, by direct substitution, that the given functions y1(t) and y2(t) are solutions of the given…

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Q: Verify that the given function is a solution of the differential equation. 1. y +ery 2. y = ce+ /+…

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Q: Which of the following is the homogeneous differential equation? A. (3x - 5)dx = (4y - 1)dy B. xydx-…

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Q: Which of the following differential equations is not homogeneous? (A dx + + In- dy = 0 B хау — ydx…

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Q: Which of the following equations is non homogeneous differential equation? a. dy y² + 2zy zp O b.…

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A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Given two linearly independent solutions y, = e=*, y¡=e™ of y"-3y'+4y=0, use the method of vanation…

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Q: Which of the following equations is non homogeneous differential equation? dy y²+2zy O a. dz O b.…

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Q: Which of the following differential equation has a solution as y = cje + Cze + czæez ? O a. y" + 8y"…

A: →Form auxiliary equation and satisfy the roots.

Q: d²y dy +2 + 4 y = cos 4x dx2 dx

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Q: Which of the following differential equations can be solved with the substitution y = vx? dy z²…

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Q: Which of the following equations is non homogeneous differential equation? dy y+2zy dz O b. - (z +…

A: The solution is given as

Q: Which of the following differential equations is not separable? O A. dy = x + y dx dy O B. = xy dx…

A: which of the following is not seperable