dy + (3х — 7)у 3 5x7 | dx

Q: 10) 4xy dx - (6x² +y) dy so

A:

Q: 8. Solve the differential equation: y' √x 7y

A:

Q: Q.2: Solve the higher differential equation below; yiv – y = 2 cos x

A: yiv-y=2cosx The above differential equation can be written as D4-1y=2cosx      , D=ddx The Auxiliary…

Q: Qs: Solve the fallow ing differential equations b) (x+j) dx - Xdy-

A:

Q: 4. Solve the homogeneous differential dy equation dx + 9xe x .

A:

Q: 1. Xy" + (y)2 - 2xy' = Q

A: We will find solution of given differential equation as shown below

Q: a) (2 - 1)y = y² – 1, yı (2) = 1

A:

Q: (5) Solve the differential equation by variable separable x cos² ydx – y cos² xdy = 0 -

A: To solve the given differential equation.

Q: (y² + 2xy)dx + x²dy = 0 2.

A:

Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b+ x) + 59.

A: y2=a(b-x)(b+x)+59

Q: Solve the differential equation by variation of parameters. 2y" - 4y' + 4y = e sec x y(x) = Need…

A:

Q: Solve the differential equation given below 3y2(dy/dx)+y3=e-x

A: We have to solve given differential equation:

Q: Solve the differential equation below: (3x²+y²)dy + (x²+3y³)dx=0

A: Given:     (3x2+y2)dy + (x2+3y2)dx = 0

Q: What is the general solution ti the differential equation (x-4y-9)dx+(4x+y-2)dy=0 ?

A: Given: x-4y-9dx+4x+y-2dy=0

Q: A student is solving a separable differential equation and gets this far: ly=(x²3)dx What is the…

A: Integration is used to determine the bigger value by adding all the small parts. While…

Q: Q-7. Solve the differential equation y = 1+ fip +..... for | 1 |< 1. dz dz

A:

Q: (2y³ + 4) dx = (6-- 2ay') dy 2ху?) dy

A:

Q: dy 5) Solve the differential equation by variable separable x*y- dr

A: Given differential equations is x3y2dy/dx=e-y

Q: 2ху+3у? dy 7. dx x2+2xy

A: Solution of these differential equation  Using y= vx

Q: Q2: Solve the differential equations: 2-= tan? dy 1- dx

A: Answer and explanation is given below.. For second question please repost

Q: How can I solve this differential equation? (x^2+1)(dy)/(dx)+y^2=-1, y(0)=1

A:

Q: 3. (D² + 4)y = 10 cos 3x. ANS. Y = -2 cos 3

A: We have to find solutions

Q: 3x y"+y= e¯x2 - 4x + 2x² + e³x 8-12x - 10x²

A: Let us consider the given differential equation y''+ay'+by=Q(x) To solve the differential equation…

Q: Solve the differential equation 4y® ,6 dy 7xe-y' sin x? = 0 dx -

A:

Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b + x)+ 59.

A: Given that: y2=a(b-x)(b+x)+59

Q: Solve the differential equation. y' = 4x – y %3D

A: Let v=4x-y Differentiating both sides we get: ddx(v)=ddx(4x-y)v'=4-y'y'=4-v'

Q: Solve the differential equation y"-9 y+20 y= sin(x)--'cos(x)¶

A:

Q: 2 y'+ =y = 3x %3D

A: Given: y'+2xy=3x3

Q: Solve the differential equation. 3. (6x + y^2) dx + y (2x – 3y) dy = 0

A:

Q: y =Cjx +Cze* %3D

A:

Q: 2y 4. у'+ х+1 = (x + 1} %3D

A: 4) Here we have, y'+2yx+1=x+12 Compare with, y'+yp(x)=q(x)

Q: 8. Solve the differential equation: d'y 3: dx² -4+y=0 dx

A:

Q: 7. Solve the differential equation dy dx Va - y

A:

Q: Solve the differential equation (1+2e ))dx+2eY (1 –4)dy = ( y

A:

Q: 5. Find the general solution of the differential equation using GeoGebra (D² +9)y=2 sina

A: General equation of differential equation.

Q: Solve the differential equation by variation of parameters. 16х у" - 16у %3D 4x e У(x) %3

A:

Q: Solve the differential equation  y′′ + 9y = 9x - cos x

A:

Q: 5) Solve the differential equation given as dy (dz) ² dy +2- y dr² dr

A:

Q: Q4: Solve the differential equation: 8- dx2 d²y 69 + y = 6. coshx dy dx

A: Some formulas: coshx=ex+e-x2 Given differential equation is: 8y''-6y'+y=6 coshx Auxiliary equation…

Q: 2. The degree of the differential equation 5x +Sy =0s dr

A: We will find the degree of differential equation in the following step.

Q: Solve the differential equation. dy 10x 16 - y, -4<y<4 dx %3D - The solution is (Type an equation.)

A: Topic = Differential equation

Q: (D³ + 3D² – 4D – 12)y = 0

A: To solve the given differential equation.D3+3D2-4D-12y=0

Q: 3. Solve the differential equation by obtaining y(x) dy + -y = xy dx 1

A:

Q: 2. Solve the differential equation: (D² – 1)y = sinx using variation of parameters. %3D

A: Given that: (D2-1)y=sinx

Q: 3. Solve the differential equation by variation of parameters. y" + 3y + 2y = cos(e*)

A:

Q: 6. Solve the differential equation: dy = 7xe-y dx

A:

Q: (2x+ykdx– 3(2x+ y+4)dy=0 1.

A: Note: We are required to answer only the first question, unless specified.

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.