solve y′′′′+ 3y′′−4y = t^2

Q: ] Solve (3xª – y)dx + (x – 4x²y³)dy = 0.

A:

Q: Solve the homogenous diff equation of; y' = y sec x

A:

Q: (Vx – 1)² dx

A:

Q: 13 [* Vx2 +y dydx 00

A:

Q: Evaluate: (4x²yz - 2) dz dy dx

A: Given :∫23∫-14∫104x2yz-z44dzdydx

Q: Solve 1dy y dx 1 %3D 3+x2 4-x²*

A: Rearrange to obtain:

Q: Find dy/dx 4y2= 3x-2/3x+2

A:

Q: Solve the equation (2x + 6) (2y² + 3) dx + 4y(x² + 3x + 2) dy = 0

A:

Q: * - 1 2. Solve dx y +1

A: Given: dydx=ex-1y+1.

Q: Solve dv/dx +2ytanx=y2.

A:

Q: a. Jx-2 + 6x² dx Jr b. Setanx sec²x dx tana c. S 2x+ 6 dx x2-3x,

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Solve (5x + 9y) dx + (9x+ 5y) dy

A:

Q: Solve: 5 -dx 2 V1+x*

A:

Q: Find dy/dx. 1. y 4x7

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Solve 2x (x* – 3)3/2 dx by substitution

A: c)    Given:         ∫2x3x4-332dx       Apply u-substitution.      substitute…

Q: -2x 4x -dx

A: We need to evaluate ∫0∞e-2x-e-4xxdx First we simplify the expression…

Q: dx J-2 (5-4x-x²)/2

A:

Q: Solve dv/dx+2ytanx=y2

A:

Q: 1. Solve: 2 dy (2y + 3) dx 4x + 5,

A: The answer of the differential equation is, 2/(2y+3) = 1/(4x+5) + c, where c is an arbitrary…

Q: (2x + Зу — 5)dx + (3x — у — 2)dy 3D0

A: Given the differential equation(2x+3y−5)dx+(3x−y−2)dy=0

Q: (x2 - 4x + 4)4/3 dx -

A:

Q: 1x x2 SI x +1)dzdydx 00-y2

A:

Q: solve for y: ln(3-y)-ln(y) = 2x + ln(5)

A: Given,

Q: Solve dy = (1+ 3ytan a) da

A:

Q: Cose 2 03D and

A:

Q: Solve dy/dx =(4x+y+1)2

A:

Q: Solve s(4- dx 3x2

A:

Q: Solve ,  (2x-3y+4)dx + (3x-2y+1) dy = 0

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

Q: Solve for dx/y-xdy/y^2=0

A:

Q: 2x+1 dx Vx+4

A:

Q: Solve x2 dy/dx =3x2-2xy+1

A:

Q: Solve x(6x^2−y−1)dy +2ydx =0.

A: x(6x^2−y−1)dy +2ydx =0 (6x3-xy-x)dy=-2ydx---(1)

Q: x²-9 dx, х>3 2.)

A:

Q: Solve (2x^2y +y)dx+xdy =0

A:

Q: solve y2dx+(3xy-1)dy=0

A:

Q: Differentiate. y = 3x - 10x2 + 32x + 1 dy dx II

A:

Q: 7x Y3D3-5x +9e* dx

A: See the details solution in below

Q: Solve (2xy-2xy- = 0 4xy² +2x) dx + (3x2y + 4y) dy %3D

A:

Q: dy - 12x +4 dz

A:

Q: Solve: 6xy dx + (4y + 9x2) dy = 0.

A:

Q: H-W. Min 2=20X メー+2-メ Ya 3 Const.

A: Given: MinZ=20x1+10x2x1+2x2≤403x1+x2≥304x1+3x2≥60

Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

A:

Q: Solve: (2x2+4y)dx+(4x+y-1)=0 www

A:

Q: Solve this: 1- dy dx + 2xy= -2x3

A:

Q: Solve dy 2x +4y +3 dx

A:

Q: If y =3 √3x2 − 10x + 6 , find dy/dx

A: To find derivative of the given function.

Q: Solve for GS: (D⁴+5D+4)y = cos (3x+4)

A:

Q: 9, (x2 + 2x - 5) dx

A: