The particular solution of (D³ - 5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

Q: 3x4-4 cos x = -6

A: Find d2y/dx2 implicitly in terms of x and y3xy − 4 cos x = −6

Q: Solve for y at x=2: (4x^3 - 6yx^2 + 2xy^2)dx + (2yx^2 - 2x^3)dy = 0; y(1)=4

A:

Q: (3y" + y' - 14)= 3*13e26x - 78

A: The given differential equation is  (3y" + y' - 14)= 3*13e26x - 78

Q: solve for y  2xy^2 + 4 = 2(3-x^2y)y', y(-1) = 8

A:

Q: Show the solution of xdy/dx+2y=x^2 is y = x^4+C/4x^2

A: By arranging given differential equation we will get that it is of the form     y' + P(x)y = Q(x)…

Q: y""-y=4e-x + 3e²

A: Given a differential equation y'''-y=4e-x+3e2x. To find the solution of given differential equation.…

Q: Solve: x^2y′′ + xy′ + x^2y = 0 where y(0) = 2

A:

Q: y" - 8y + 25y = 0; y(0) = 0, y'(0) = 3

A: y''-8y'+25y=0; y(0)=0, y'(0)=3 We have to solve it using Laplace transform.

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

A: Explanation of the answer is as follows

Q: A shopper buys cat food in bags of 3 lbs. Her cat eats 3434 lb each week. How many weeks does one…

A: Given that A shopper buys cat food in bags of 3 lbs. Her cat eats 3/4 lb each week

Q: (y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

A:

Q: (3y" + y'-14)=3*256e768x - 1536

A: The given differential equation is  (3y" + y'-14)=3*256e768x - 1536

Q: if x^2 + 3y^3 = 12, find dy/dx and evaluate (-2, -3)

A: To find the derivative

Q: Solve (D - D’-1)(D - D’-2)z = e3x-y

A: Given: D-D'-1D-D'-2z=e3x-y

Q: (2y^2 + 3x)dx+2xydy=0 Solve using integrating factor

A: To solve the following differential equation by using the integrating factor.2y2+3x dx+2xy dy=0

Q: Solve the differeentail Equations for y"-2y'= 3x+9e^(3x)

A:

Q: y” + 3y = -48x^2 e^3x

A:

Q: A particle is moving in such a way that its displacement xcm from the origin after t seconds is…

A:

Q: In the last part of step 1 for ds/dx, where does the 1 under the square root go? Why does it just…

A: Let's solve.

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

A:

Q: Evaluate y'- 5y = 3e^x - 2x + 1

A:

Q: find a linear homogenous constant coefficient equation with the given solution: y(x) =…

A:

Q: y" = 2y^3 + 8y, where y = 2; y'= -8 when x = 4

A:

Q: 3. (ey + 1)²e-dx + (ex + 1)³e¯*dy = 0

A:

Q: Find all solutions to the equation (D^2 − 3D + 2)y(x) = 2e^3x.

A:

Q: Solve (D^2-1)y = sin x + (1 + x^2)e^x

A:

Q: find the general solution of y''+2y'-3y=(5x^2-7)e^-x

A: