Solve the differential equation y2 dy/dx = 3x2y3 - 6x2

Q: Solve the differential equation x²y" - y = e-3*.

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Q: Solve the differential equation (x+y)y'-y=0

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Q: Solve the differential equation (x²+1)y' + 3x(y-1)=0 and y(0)=2

A: Topic: Differential equation

Q: solve the differential equation xy'+(1+2x2)y=x3e-x^2

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

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Q: Solve the differential equation xy = x2 + y2 dx

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Q: x² y – Y y/ = y +1

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Q: solve the differential equation: y(2xy+1)dx+x(1+2xy-x3y3)dy=o

A: Given diffrancial equation y2xy+1dx+x1+2xy-x3y3dy=0Solution…

Q: Solve the differential equation; yy`+ 25x = 0

A: Variable separable differential equation

Q: Solve the differential equation. dy 3x²y² dx

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Q: Solve the differential equation y' - 4xy = x

A: We have to solve the following differential equation -  y' - 4xy = x⇒ dydx - 4xy = x

Q: Solve the differential equation 4. xdx e-x + (Y+) dy y³

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Q: Solve the differential equation: (x -1)dy - (y+2)dx = 0

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Q: Solve the differential equation y′′ - 3y′ + 2y = ex - e2x

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Q: Solve the differential equation. (y + Sin y) y'   =  x + x3

A: Write the equation in terms of differentials and integrate on both sides as follows.

Q: Solve the differential equation 3yy' 7x.

A: Given differential equation is 3yy'=7x

Q: Solve the differential equation (x2y-2xy2)dx=(x3-3x2y)dy

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Q: Solve the differential equation  2x+y2+2xyy′=0.     (1)

A: Exact differential equation:  Mdx + Ndy = 0 is called exact differential equation if ∂M∂y=∂N∂x And…

Q: 1. dy x3 dx 2+y² ||

A: Solve the differential equation

Q: solve the differential equation 2x2 dx - 3√y csc x dy = 0

A: 2x2 dx-3ycscx dy=0 On simplification, we get ⇒2x2 dx=3ycscx dy⇒2x2cscx dx=3y dy⇒2x2sinx dx=3y dy…

Q: Solve the differential equation: xy' – y = 2x Inx 1.

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Q: Solve the differential equation dy/dx = 3x2 e-y

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Q: Solve the differential equation: dy 1273 dx ey

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Q: Solve the differential equation,  x⁴ y' = -x³y - csc (xy)

A: Given, x4y' = -x3y -csc(xy)⇒y' = -x3y -csc(xy)x4                    1substituting y =ux , u is a…

Q: Solve the differential equation: y3 dx + 3xy2 dy = 0

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Q: Solve the differential equation: dx || y+1 *

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Q: (3x2y-6x) (x³+2y) dy dx 3.

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Q: solve the differential equation: y2dx+(x2-xy-y2)dy = 0

A: Given:    y2dx+x2-xy-y2dy=0

Q: . Solve the differential equation d²y + y = csc x dx2

A: We have to find out

Q: Solve the differential equation 2x dy/dx + y = 2x0.5

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Q: y"-7y'= (2x –1)sin 2x

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…

Q: Solve the differential equation.   dy/dx - y/x = ( ln x) 4

A: 8

Q: Solve the differential equation: x2y'=y(1-x)

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Q: Find the solution of the differential equation. y`+3x=x+e-2x

A: Given query is to find the solution of the differential equation.

Q: Solve the differential equation y2 − 3x dydx = 6.

A: follow the next step

Q: Solve the differential equation. (2xy3)dx-(1-x2)dy=0

A: We can solve using by separation of variables

Q: Solve the differential equation: yy′′+(y′)2=0

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Q: x2 + 2x + 1 y' = y +2

A: The given differential equation is: dydx=x2+2x+1y+2 We can solve this ODE by using separation of…

Q: Solve the differential equation: y(2x3-x2y+y3)dx - x(2x3+y3)dy = 0

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Q: Solve the Differential Equation. 1. dy/dx=y-xy3e-2x

A: The differential equation is given as , dydx=y-xy3e-2x

Q: solve the differential equation dy/dx = 4xsec y

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Q: Solve the differential equation 2xy -(y+x)(y-x)%3D0 dx

A: The differential equation is given as 2xydydx-(y+x)(y-x)=0 It can be rewritten as…

Q: Solve the differential equation: dy/dx = y3/(1-2xy2).

A: Differential equations of the form;   where M and N are functions of x and y, are said to be exact…

Q: Solve the differential equation. dx = (x2yey^3 - 3xy2) dy

A: dx = x2yey3 - 3xy2 dy

Q: Solve the differential equation dy 6x dx 9x + 6y

A: topic - differential equations

Q: Solve the differential equation (D² +1) y = x² cos 5x

A: Solution :-

Q: Solve the differential equation (1 + x3)dx - x2ydy = 0

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Q: 1. Solve the differential equation (3xy – 4y2)dx + (x2 – 4xy)dy = 0 -

A: Given differential equation is  (3xy-4y2)dx+(x2-4xy)dy=0 This is of the form  M(x,y)dx+N(x,y)dy=0…

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.