c) = y sin x

Q: Solve the following differential equation.  (x + y) dx + x dy = 0

A: To solve the following differential equation.  (x + y) dx + x dy = 0

Q: y-(1 + y}x² = 0 dx

A: Firstly separate the variables. i.e, separate the variable 'y' and 'x' in the given differential…

Q: Solve the following differential equation. xy(dx — dy) = x2 dy + y2 dx

A:

Q: Solve the following differential equation

A:

Q: c) y' +y = 2 sin 3x + 4e-4x

A:

Q: dy Зx+2у-5 dx 2х+у-3

A:

Q: Solve the following differential equation y' -3 = cos² (y – 3x + 6)

A: Given: To solve the following differential equation, y' - 3 = cos2(y - 3x +6)

Q: Solve the following differential equation: (3x°y+2xy)dx+(x'+x +2y)dy 0

A:

Q: Solve the following differential equations: dy +x dx

A:

Q: Solve the following differential equation (25x+3y)dx+(9y-3x)dy=D0

A:

Q: dy 3. = y tan x – y² sec x dx

A:

Q: Solve the following differential equation: y" + 4y + 4y = e-2" sin(2x)

A: This is a second-order differential equation.  The solution of this differential equation is…

Q: Solve the following differential equation: 2 (y+3)dx - xydy = 0

A: If a differential equation can be written as f(x)dx=g(y)dy , then it is known as differential…

Q: y' + (=) y = xy²

A: See solution below

Q: xdx + ydy = (x+ x¯ +y° )dx

A:

Q: - ydx + (x ++/y )dy = 0

A: We have to apply substitution to solve the problem After substitution we have to integrate

Q: ab ac + QA = 0 od +

A:

Q: Зх + у — 4 dy 2х + у — 3 dx

A: Differential Equation Reducible to Homogeneous: Consider the differential equation of the form…

Q: solve the following differential equation y' + 2y=3

A:

Q: d. y'\ + у %3D0

A:

Q: Solve the following first order differential equations: (xy – 2x? )dy - (y + 2xy)dx = 0.

A:

Q: Solve the following differential equation. y" +4y' + 4y = xe¯x

A:

Q: solve the following differential equation xyy' = y^2 + x^2

A:

Q: Solve the following differential equation. (2x+1) dy: dy=. 2 y

A: Given differential equation ,ey2dy=2x+12ydxSeperating the variables ,2yey2dy=2x+1dxIntegrating ,…

Q: Solve the following differential equations  x^3 dx= y dy

A: Given:

Q: Solve the following differential equation y +y= xe* cos 2x.

A:

Q: Solve the following differential equations: (1) xdy -(tan y+xsec y)dx =0.

A: The detailed solution is given below Thank you

Q: Solve the following differential equation dy = 32 y dx

A: We can solve it by using the method of variable separable.

Q: y'- 8y'+ 2y =(x't 82) eex

A:

Q: b. (1-x²)y" - 2xy' =X

A:

Q: d’y (b) dx + y =: dx 1+x

A:

Q: Solve the following differential equation: (3x y+2xy)dx+(x' +x +2y)dy 0

A: (3x2y+2xy)dx+(x3+x2+2y)dy=0

Q: Solve the following differential equation: (x +y)dx – (x– y)dy = 0.

A: Topic -differential equation

Q: Hello there, can I please get these questions answered? Thank you!

A:

Q: / Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0 -

A: To solve the given differential equation.

Q: x + y = x³ /y

A:

Q: b. y − y'cosx = y2 (1 – senx)cosx

A:

Q: Solve the following differential equation.  (x2 + 1)dx + x2 y2dy = 0

A: Given x2+1dx+x2y2dy=0 Apply formula ∫xndx=xn+1n+1+c,     n≠-1

Q: Solve the following differential equation y"x+ 3xy' - 3y = 0

A:

Q: Solve the following differential equation: =ei sin(rx)

A: We have to solve the given differential equation…

Q: dy c) dx = y sin x

A: We have to solve the given differential equation which we can solve by using variable seperable…

Q: Solve the following differential equation dy (x² + 2y²). = xy dx

A: First we convert the given differential equation into separable form and then we find the general…

Q: IV c. y" + 2y" + y = 0

A:

Q: Solve the following Differential Equation y' = y tan x; @y(0) = 1/2 n

A: Given:- y' = y tan(x)  , y(0) =1/2  To find :- Particular solution of given differential equation

Q: Solve the following differential equation.  (3xy + 3y — 4)dx + (x + 1)2 dy = 0

A: Given differential equation is: 3xy+3y-4dx+x+12dy=0

Q: Solve the following differential equation: dy/dx = 2/x^2 + 4

A:

Q: Solve the following Differential equations: b) y' + x sin 2y = x3 cos2y

A:

Q: Solve the following differential equation by the form of substitution. Dy/dx + 2xy = 2x4y3

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.