2x° -1 dy dx 3-2y

Q: Solve the following differential equations: cscy dx + sec2x dy = 0 %3D

A: cscy dx + sec2x dy=0

Q: Solve the following differential equations of 03B (1+x* )(dy – dx) = 2xydx,

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

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Q: (2x+ y)dx- 3(2x+ y+4)dy 0

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Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATION (4x3y – 15x2– y )dx +(x4 +3y2– x)dy=0

A: A differential equations of the form, M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x

Q: dy Зx+2у-5 dx 2х+у-3

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Q: Solve the following differential equation. y" – 6y = 9r + 12

A: To solve the differential equation

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

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Q: 7. ydx + (x² + 3xy + 4y²)dy = 0

A: It is asked to solve the given differential equation   Given that at x=2,. y=1

Q: Solve the following differential equations: dy xy+y2 x2 dx

A: solve differntial equation

Q: y"- 4y'+ 8y= (x²+4x)em %3D

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Q: Solve the following differential equation.  (2x + y — 4)dx + (x − 3y + 12)dy = 0

A: If we have differential equation Mdx + Ndy =0 and  ∂M∂y = ∂N∂x, then equation known as exact…

Q: dy/dx = sec ?xsec³y

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: +QA = 0 ab ac ad

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Q: Solve the following differential equation d*y + 24 ?y dx2 + 9y = 0 dx4

A: Solution of differential equation with solution of auxillary solution m=α±βi  with repeated roots is…

Q: Solve the following differential equation:

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Q: dy + y = 20 + 10x dx

A: To solve the given differential equation

Q: (D² + 1)y = sec² x csc x

A: Solve the differential equation by the method of variation of parameters : D2+1y=sec2xcscx

Q: xdx + ydy = (x2 +y)dx

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Q: sec x dy-4sin xsec ydx=0

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Q: (3x²y + 4e)dx + (x³ + 4xe' + 2y)dy

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Q: Solve the following differential equations: 1. dy – (y – 1)²dx = 0 %3D

A: Solve by the variables separable method.

Q: d²y dy 4х — + 6у — 4х — 3 dx | dx2

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Q: Solve the following differential equation d'y dy 4x- + 8y = x3 +3 dx2

A: To determine :- The given differential equation  x2 d2ydx2 - 4x dydx + 8y =x3 + 3

Q: y(2xy +1) dx + x (1 +2xy - x³y³) dy = 0

A: See this solution in below

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

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

Q: x°dy + y°dx = xy(xdy-ydx)

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Q: Solve the following differential equation. d²y dy +3y = 3x? +5 -2 dx

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Q: Solve the following differential equations: dy -y =Vx? +y² . dx dy

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Q: d’y (b) dx + y =: dx 1+x

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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: 8. (e*+ y)dx + ( 2+x+ ye )dy =0

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Solve the following differential equation d²y dy + x- +x²y = 0 dx2 dx

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

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Q: (1-x) dy - 2хydx %3D2 (х3 — х)dx

A: It is exact differential equation

Q: Q5: Solve the following differential equation, 1 dx sco e de ,x(T/2) = 3 %3D x2 csc 8

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Q: Solve the following differential equation: y′′−2y′+2y=0 and express your answer in the form…

A: The roots of the differential equation are complex.

Q: Solve the following differential equation dx – 2xydy = 6x³y?e-2y²dy

A: By dividing the equation by dy we get a Bernoulli equation.  We solve  the Bernoulli equation.  And…

Q: Solve the following differential equations.  dxdy = cos x cos^2 y

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Q: dy c) = y sin x dx

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Q: Solve the following differential equations: dy y%3D =Vx² +y² . dx

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Q: ( x³y³ + 1 ) dx + x*y? dy = 0 %3D

A: We have to solve the following differential equation, x3y3+1dx+x4y2dy=0

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: 8. (e* + y)dx + ( 2+ x + ye' )dy =0

A: Given:- (ex +y) dx +(2+x+yey ) dy=0 To find:- General solution for given differential equation

Q: 4) (D² + 4) y = sin 2x

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Q: d'y, da = Sx²+aSinSx-Scossx dx² %3D

A: The solution of the differential equation has 2 parts, homogeneous solution, and a particular…

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: dy 2y (х + 2)* dx x -4 х - 4 +

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

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Q: Solve the following differential equation: 6xy dx +(4y +9x² )dy = 0

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