dy + y = 20 + 10x dx

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 given differential equation. y − xdy/dx = 3 − 2x2 dy/dx

A:

Q: Solve the following first-order differential equation e?y²+3x dy а) dx y dy b) dx Зу +1 +

A:

Q: Solve the following differential equation

A:

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

A: Consider the given differential equation.

Q: dx y²(e* – 1) = dy

A: To solve the given differential equation

Q: dy Зx+2у-5 dx 2х+у-3

A:

Q: solve the given differential equation 8. dy /dx = − x /y

A: Given differential equationdydx=-xyWe have to find the solution of this differential…

Q: Solve the following differential equation.  y2dx — x(2x + 3y)dy = 0

A: Given:             y2 dx-x2x+3y dy=0 Let y be the independent variable. Divide by dx…

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

A:

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

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

A:

Q: y' + (=) y = xy²

A: See solution below

Q: Solve the following differential equation:

A:

Q: dy X- + xlnx- y = 0 dx where y(1) = 3.

A: Solution

Q: y" – 2/2/ +2y = 0

A:

Q: Solve the following differential equations. У(x - у) dx - x(х) + y) dy 3 o

A: Note - As per our guidelines we have to answer only first question if multiple questions are…

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

A:

Q: Solve the given differential equation by separation of variables. dy ху + 5х — у - 5 dx ху — 2х + бу…

A: The solution of the provided differential equation by separation of variables is given by,

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

A:

Q: d²y dy 4х — + 6у — 4х — 3 dx | dx2

A:

Q: y' – 3y = 2

A: We have to solve given problem:

Q: Solve the following differential equation: (x2 − y2) dx + 2 xy dy = 0.

A:

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: solve the given differential equation. dy/dx = 2x y

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Q: Solve the given differential equation (y? + yx)dx – x²dy = 0

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Q: Q1// Solve the following differential equation: dy x² + 3y dx

A: Topic:- solution of linear differential equations Given differential equation is     xdydx=x2+3y

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

A:

Q: Solve the following differential equation ÿ+y+y=e-2x (9x + ln(x))

A: Given differential equation is, y¨+y˙+y=e-2x9x+lnx                     …1 Associated homogenous…

Q: x + y = x³ /y

A:

Q: Solve the given differential equation. (x² + 9) dy = (2x − 8xy) dx

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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: = 3y? – y²sinx dx

A: Given that: dydx=3y2-y2sinx

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

A:

Q: Solve the following differential equation (2x³+ y³)dx -3xy²dy=0

A:

Q: solve the given differential equation. 1. y′=x2y

A: we have been given the differential equation  y'=x2ydydx=x2y             (as y'=dydx) using the…

Q: Solve the following differential Equations y' = y-x ; @ y(0)=3

A:

Q: Solve the given differential equation. (y² + 5) dx = y sec²(x) dy

A: For the given differential Equation (y2+5)dx=ysec2(x)dy is  y=cex+cosxsinx-5 , y=-cex+cosxsinx-5

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

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Q: solve the following Differential equation y'(x²y3+xy )= 1

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Q: Solve the differential equation of the following equation. 1. (y-xy) dx + xdy = 0

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

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Q: 3. [a csc (2) – y] dæ

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Q: 3. () - y] dæ + xdy = 0 | х CSC

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Q: Solve the given differential equation dy = e-Y. dx

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.