The general solution of 4y"+4y' +y = 0 is ()%3D

Q: y" - 3y' + 2y = 2x² + ex + 2xe* + 4e³x

A:

Q: (3y" + y' - 14)= 3*13e26x - 78

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

Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

A:

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

A: 2x+62y2+3dx+4yx2+3x+2dy=0

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: y"" - y' = 2e-* - 3e2x when x = 0, y = 1, y'= -1 and y" = 2

A:

Q: y = (r² + 4r) e"

A: given question is solved with the help of product rule of differentiation    i.e. (f.g)' = f*g'+…

Q: - 6 = ₁6 -X

A: Given: The differential equation is y'=y-xx-y+2. To find: Solution of the differential equation.…

Q: (x³ - x) dx 3 -1

A:

Q: 4 (x +y +x)dx+ xydy = 0

A:

Q: x3y" – 5xy' + 9y = 0 -3x y" + 5y' + 4y = 10e %3D

A:

Q: y' + (=) y = xy²

A:

Q: y' =xy

A:

Q: 1 0 16. x' = -2 -2 -3 %3D 4

A:

Q: y²-6x²y=-9x ; y' at (1,3)

A:

Q: 4x – 9y = 1 find the first derivative

A:

Q: y' - 4y = 4y18

A:

Q: dy '(x2 + 2x)을+(x-+2) y 3D xe

A:

Q: - (x*+ a²)dy = 2x[(x*+ a²)*+ 3y]dx ex[(x²+ a²)²+ 3y]dx

A:

Q: Find the general solution: 8x^3 y''' + 10x^2 y'' + xy' + y = 5

A: According to the given information it is required to find the general solution of the given…

Q: Find y'' for y = 5x +4. 25x2 y'= - O A. 2 (5x? +4) 1 y" = O B. 4 (5x2 + 4) 20 y" = OC. (5x? + 4)…

A:

Q: -1 GTiven A=( 2-니 3 ) and ()A find A -3 H possible. It not state youre Teasoniong

A: Given: A=−132−4find:A5−6=?−34A=?

Q: can you explain if this is true or false if y=x2+y2, then y'= 2x+2y

A:

Q: (ху + 1)dx + x(х + 4у — 2)dy 3 0; у(1) — —1

A:

Q: Find y'. y=x V6x - 1

A:

Q: If u(x) = x3, then du = 3x2.

A:

Q: x+ dy If y = then will be %3D 2x-3' dx (2x – 3) (1 –) - (2x +) A. (2х - 3)2 (2x – 3) (1 +) – 2 (x+±)…

A:

Q: 3X ジ+ 5y+4 -2X -3e+キe मै -29 +8 ジ x ーズ %3D 12)

A:

Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as:…

Q: - 4. 3y(x² − 1)dx + (x³ + 8y − 3x)dy = 0; when x = 0, y = 1

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.