(3x2y-6x) (x³+2y) dy dx 3.

Q: Solve and find the domain for the differential equation: (x2y2)dx + xydy = 0 , y(3)=-6

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Q: Solve the differential equation: dy x=+(7x – 7)y = 4x³ dx

A: On dividing the given equation both sides by x we get, Hence the given differential equation is of…

Q: (y²_xy) dx + x² dy =O

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Q: Solve the differential equation. xy' - 2y = x2, x > 0

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

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Q: Solve the differential equation: (2x - 4y - 3)dy=(x-2y)dy

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Q: A/ Solve the differential equation. (2x² + 3y²-7)x dx - (3x² + 2y² - 8)y dy = 0

A: According to the guidelines we are supposed to do one problem.

Q: Solve the differential equation: dy + (2x – 7)y dx 8x9

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Q: Solve the differential equation d2y/dx2 − 2dy/dx + 4y = exsin2(x/2).

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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  a. dy/dx+9xy=x  x=0 and y=8 b. dy/dx+7x^6y=7x^6 x=0 y=5

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Q: Solve the differential equation: dy/dx + x2y = 3x2 , y(1)=6

A: Calculate the integrating factor and solution.

Q: Solve the differential equation d2 y/ dx2 + 4y = e3x

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Q: Solve the differential equation. -3xy )dx+: *+xi-x* dy=0

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Q: xy' + 2y =, y(1) = -1

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Q: Solve the differential equation: * (D² - 3D + 2)y= 2e-x + 8

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Q: Solve the differential equation x²y" – y = 1-2x

A: step:-1 Given that x2y''-y=11-2x This is non homogeneous differential equation of second order.…

Q: solve the differential equation y"(x) +y'(x)-2y(x)=0

A: We have to solve the given ODE.

Q: Solve the differential equation dy/dx = (-3x + 4y -1) / (3x +4y+2)

A: Here, the differential equation is dydx=-3x+4y-13x+4y+2, which can be converted to homogeneous…

Q: Solve the differential equation dy/dx = xy + 3x - 2y - 6

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Q: Solve the differential equation y" – 4y' + 4y = %3D -

A: Given that a differential equation : y" - 4y' + 4y = e2x/x.  Here i attached solution of this…

Q: Solve the differential equation. xy '- 2y = 9x^2

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Q: (xy – 2y²)dx – (x² – 3xy)dy = 0 -

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Q: Solve the differential equation by linear method dy 4 -2(x+1)* dx (x +1)

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Q: Solve the differential equation. 9x2 dy dx V5 + x3 y = + C

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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 equations by direct method dy/dx=1/4X^2+ 4x + 2

A: Given, dydx=14x2+4x+2 Now we shall differentiate the given equation by direct method.

Q: Solve the differential equation. xy' – 2y = x2, x > 0

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Q: Solve the Linear differential equation x+4y = 7x. dx

A: I have used linear differential equation method.

Q: dy 2 y -x²y² dx

A: Solution: This equation is a Bernoulli Equation i.e. dydx+Py=Qyn where P and Q are functions x

Q: Solve the Differential Equation. (x2+y2+x)dx + xydy = 0

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Q: Solve the differential equation 1-x+y dy dx 2+x - 3y

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Q: Solve the differential equation (x² + xy² – x³)dx + (x²y – y³)dy = 0

A: Integration:- An integral assigns numbers to functions in a way that describes displacement, area,…

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

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Q: (x* – y*)dx + xy³dy = 0 -

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Q: solve the differential equation. (x - 2y + 4)dx + (2x - y + 2)dy = 0

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

A: We can solve using by separation of variables

Q: Solve and find the domain of the differential equation: 3x2y+(x3-2y)dy/dx = 0 , y(2)=-8

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Q: Solve the differential equation. 4x2 dy dx V9 +x y = + C

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Q: Solve the differential equation dy/dx = 5-2x/3y2-2

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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: D² +2)y=e*cosx =e° cosx-

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Q: Solve the differential equation.   dy/dx=(x-2)/sqrt(x^2-4x+5)

A: Given differential equationdydx=x-2x2-4x+5⇒dy=x-2x2-4x+5dxIntegrating both side∫…

Q: Solve the differential equation: (3x2y3ex+y3+y2)dx+(x2y3ex-xy)dy=0

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Q: Solve the differential equation (2x - 3y + 4) dx + 3 (x - 1) dy = 0; when x = 3, y = 2.

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Q: Solve the linear differential equation dy y 2x2 - dx

A: Given differential equation is dydx - yx = 2x2