Solve y" + 21y" + 147y + 343y = 48xe-7

Q: . Solve: (6x + 1)y² + 3x² + 2y° %3D dr

A:

Q: Solve ym-y'-2y=3e2x,y(0)=0.y'(0)=-2

A: Given differential equation :

Q: What is the particular solution of the equation 2ydx - 3xdy = 0 when y=1 and x=1?

A: Solving the differential equation by seperation of variables.

Q: Solve (D2 - 25 ) y = 0

A: Can be written as

Q: Solve  y"-3y'-10y=0

A: We have to solve  y" - 3y' - 10y = 0 (D2 - 3D - 10)y = 0 The auxiliary equation is  m2 - 3m - 10 = 0…

Q: Solve ,  (D2 -9)y= e4x

A: We have to solve  (D2 - 9)y = e4x For complementary function  (D2 - 9)y = 0 The auxiliary equation…

Q: Solve ym-y'-2y=3e2x,y(0) =0,y'(0)=-2

A:

Q: y

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Q: Solve y" + (y')² = 0.

A:

Q: Solve y'+ 2x²y = x?

A:

Q: Solve y2 + 25 = 8y

A: To solve the provided equation y2+25=8y for the value y. Now, use the quadratic formula to find the…

Q: solve fo y -3(-5y+4)-2y=3(y-1)-4

A: Given,

Q: 4. Solve the equation y'=2x+1/3y+x+2.

A: According to question given:y'=2x+13y+x+2We have to solve the given differential equation

Q: Solve by substitution:  y = − 2x − 9y = − 5x − 21

A: We substitute y=-2x-9 in the other equation and solve for x

Q: Solve: 3x + y − z = 108x − y − 6z = − 35x − 2y − 5z = 1

A: We need to solve the above equations.

Q: Solve Y"' – 6Y" + 11Y – 6 = 0 -

A: Given differential equation is Y''' - 6Y' + 11Y - 6 = 0

Q: Solve. x² +y° = 25 y² = 5-x Ay 6- 4- -> -6 -4 -2 6. -2- -6- 2.

A: The given system of equations is  x2+y2=25y2=5-x Solve the equations using the substitution method.

Q: Solve for y.   5/2y - 7/3y = 1

A:

Q: solve by substitution y=1-3x 6x+2y=2

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Q: Solve when x(0)=2 and y(0)=3

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Q: Solve. Please show your work. y= -3x+ 5 5x-4y = -3

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Q: Solve for y 6x + 2y = - 8

A:

Q: Solve using the substitution method.y=6-3x and 4x+y=6

A:

Q: Solve: y' + 4y - 17y' - 60y: = y(0) = - 4, y'(0) = - -5, y(t) = = - 72et y''(0) = - 65

A: First we will find the Auxiliary equation of given differential equation to get Complementry…

Q: Solve for y 6x +3y = -9

A:

Q: Solve ,  y"-12y'+35y = 0

A: We have to solve  y" - 12y' + 35y = 0  (D2 - 12D + 35)y = 0 The auxiliary equation is  m2 - 12m + 35…

Q: Solve y′′+ 9y = 3t^2

A: Solve y′′+ 9y = 3t^2

Q: Solve by substitution  9x-2y=23 5x+y =-2

A: Given equaitons; 9x-2y=23 5x+y =-2 The substitution method is the algebraic method to solve…

Q: Solve for y 6x + 2y - 8

A:

Q: Solve fip y+z zdz 7-2ry y

A: Given dxy-x = dyy+x = z dzx2-2xy-y2 On equating the first two equations, we get dxy-x = dyy+x(y+x)dx…

Q: Solve for y: 2y + 3x - 5 = 4

A: Given 2y+3x-5=4

Q: Solve y + y + 2z + 3 w 1 -a + 2y 3z + 5w = 1 y = 2.

A:

Q: Solve:  x + y + z = 62x − y − z = − 3x − 2y + 3z =6

A:

Q: Solve for the solution of: (D2 - 4)y = 8e2x - 12

A: Given problem:- Solve for the solution of: (D2 - 4)y = 8e2x - 12

Q: Solve. х y" – 7y' = 6e6x

A:

Q: . Solve y – 2px = tan (xp). -1

A:

Q: Solve ,  y" - 15y' - 100y = 0

A: Find auxiliary equation of the given differential equation and solve the equation

Q: Solve. y' = 6y^-4; y = 5, when x = 2

A:

Q: 2. Solve y" - 5y = 0

A:

Q: solve: fx" - 4x - 3y=et-6 5x+y + 4y = 8+ cst

A:

Q: Solve using the substitution method. 2x+4y=-3 and 2x-y=7

A: We have given2x+4y=-3               ⋯⋯⋯⋯(i)2x-y=7                     ⋯⋯⋯⋯(ii)

Q: Solve   2y-3sqrt(y)+1=0

A: Obtain the solution of the given equation as follows.

Q: Solve using the substitution method. y=2-5x and 6x+y=8

A: Explanation of the answer is as follows

Q: Solve for y: 3x + 2y - 4 = 0.

A: Given:3x+2y-4=0

Q: solve y’’ + y’ – 6y = e2x – 2

A:

Q: 40000y" - 81y = 0 y(0) = 4 , y'(0)= 9

A:

Q: Solve, y'+ y^2cos(2x) = 0

A: 1 have solved by separation of variables methods