+ If y = Vx? - 2x then y' 2(x-1) %3D %3D 3x2-2x FO

Q: 3- (2x+y)dx + (x-2y)dy=0

A: If the differential equation is of the form Mdx+Ndy=0 which is exact thenSolution of the…

Q: 5 (x² + y² )dx dy -5 J –1

A:

Q: G3- y²sinx+3e3*)dx+(3xy² +2ycosx+)dy=0 |

A: In this question, we have a differential equation of the form Mdx+Ndy=0 Here we have to check the…

Q: Find the particular solution of csc y dx + sec2 x dy = 0; y = π/2 when x = π/2

A: We solve this differential equation by separation of variables.

Q: ( 2x – sin y) dx – (x cos y) dy = 0 -

A:

Q: Find general solution of: 2x ( y - x^2) dx + dy = 0

A: Topic:- solution of differential equations

Q: 3 For y = 3x + x + 3 dy = -1 = dx

A: Given that:y=3x3+x+3To find: dydxx=-1

Q: (x + 2y - 4) dx -(2x +y-5) dy = 0

A: We have to solve given problem:

Q: 6x – 2x +1 dy cos y + e4y 2. (3xy² – 9xy – 30x) dx + (x² +9) dy = 0 1. dx

A:

Q: 6x + y²) dx + y(2x – 3y) dy = 0 -

A: Exact differencal equation and second eliminate contact

Q: 1. (x- v)dx+ (3x + y)dy = 0 when x = 2, y = -1

A: Let us first solve x-ydx+3x+ydy=0. So,            x-ydx+3x+ydy=0Let y be the dependent variable.…

Q: x-y 2 dx dy wer (2x-u)

A:

Q: (x²-xy-y²\ (x2-ху-у?) dy = 0 dx + r2-v3

A:

Q: b. sin 2xdy – 2(y - cosx)dx = 0; when x = 1/4, y = 0

A:

Q: Q3 (d^2 y)/(dx^2) - 2dy/dx of Undetermined Coefficient) 20e^(-x) cos(x), y(0) = 0 = y'(0) (Use…

A: we have to solve given differential equation by using method of undetermined coefficient

Q: 4. (x+ 2y-1)dx-(2x+y-5) dy =o

A: According to question,Given differential equation,x+2y-1dx-2x+y-5dy = 0

Q: 2. 2x? dx – 3/y secx dy = 0 -

A: Separate x and y variable . Then integrate.

Q: (v² +3 yx)dx +(3x² +cos y-e' )dy = 0.

A: It is problem of exact differential

Q: у (буз — х — 1) dx + 2x dy — 0 || -

A:

Q: Solve bernoulli equation (dy)/(dx) - y = x * y ^ 2

A: Given problem:- Solve bernoulli equation (dy)/(dx) - y = xy2

Q: 2x(y + 1) dx – ydy = 0 when x = 0, y = -2 %3D -

A: Here differential equation is given as 2xy+1dx-ydy=0or2xy+1dx=ydy⇒2xdx=ydyy+1⇒2xdx=dy-dyy+1

Q: (2x – y)dx + (4x + y – 6)dy = 0 -

A:

Q: dy 4.x+ (4x² – 1)y = -3 sin(2x) dx dy dx²

A: In this question, we find the normal form of the differential equation and then solve it.

Q: (3x+2y+7)dx + (2x-y)dy=0

A: Given differential equation .3x+2y+7 dx+2x-ydy=0We have to solve the differential equation .

Q: 4) (x- y)dx+(3x+ y)dy =0, when x = 2, y = -1 5) (3x - 2 y²) y'= 2.xy, when x = 0, y =-1

A:

Q: 1. (ex-y)(1-e²y)¹/² dx = dy

A:

Q: (3-y)dx + (y-2=) dy = 0, y(-1) = 2. ry2

A: Given: 3-yx2dx+y-2xxy2dy=0, y(-1)=2

Q: 1- 2r (1 + y')dx - y (1 + 2x)dy =

A:

Q: 4. (x³ + 3x – 1) dx 2 5. 4x x2 6. SIy + 1) – (y? - 1)]dy

A:

Q: [2x*yžcosx² – 2x*yå + x/5]dx + [x/5stnx² - x° /9]dy = 0 3 2x²yz + x [x/ysinx? – x³ /y]dy = 0 -

A:

Q: dy 1.3- |4 - х2 ys dx : у(1) %3D 1

A:

Q: 2. S dx exte-x 3. fx sec² x dx 4. esinx cos x dx

A:

Q: •1 fl-x r4-x²-y 16. x dz dy dx 0 Jo 3

A: See the attachment

Q: solve x (dy/dx)=x^2y^3 - y, y(1)=1

A:

Q: Y(3x*2)dx + x (1-2y) dy-0

A:

Q: 5/xy dy -2, х, у» 0 dx y =

A: See the details solution in below

Q: y2 - cos(x²) + + 3x³ = 4x-3 dy 8. x – %3D dx

A:

Q: dy 4. Find at (- 2,0), if 3x² +2x²y² +sin y=12+2y. dx

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: (2x - y)dx(x + 4y)dy = 0

A: As per the rules, we can answer only the first question and other can be reposted.

Q: 32. (2x-y+4) dx + (x-2y-2) dy = 0

A: Consider the differential equation(2x-y+4) dx+(x-2y-2) dy=0. The objective is to solve the…

Q: cos(2y) – 3x?y²]dx + [cos(2y) – 2x sin(2y) – 2x³y]dy = 0 when x = 0; y = 0 %3D

A: Let's find.

Q: Evaluate the integrals

A: Consider the given integral, ∫02∫-4-y24-y2∫02x+ydz dx dy integrate with the given order of the…

Q: Q3) (cos y – 2xy + dx – (x² + xsin y)dy = 0 x²+

A: Simplify the equations by grouping like terms and using the product rule of differentiation. Look…

Q: b. (xy - y)dx + (x² – 2x + 3y)dy = 0; when x = 1, y = 1

A:

Q: dy い+ with dx y(-2) = 2 ニ - y x

A:

Q: Find the particular solution of csc y dx + sec² x dy = 0; y = when x = 2 2

A: Given differential equation is cscy dx+sec2x dy=0. To find the particular solution if y=π2 when…

Q: (x - y) dx + (3x + y) dy = 0; when x = 2, y = -1.

A:

Q: 2x(y+ 1) dx – ydy = 0 when x = 0, y = -2

A:

Q: dx (1) dy (2x+y-1)

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

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.