Solve for the value of C in the equation: dy – (y + xy³)dx = 0 when y(0) = 1

Q: Solve the equation using homogeneous equation (x - 2y)dx + (2x + y)dy = 0.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: dy Solve for the value of C in the equation: (1-2x)dx when y(0) - 1 3y3 3

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Q: dy c) Hence find the solution when x = 0, y = 0 and 1. dx

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Q: Solve the equation (6x + y?) dx +y (2x – 3y) dy = 0. -

A: Given,  (6x+y^2)dx + y(2x-3y)dy=0

Q: By using an appropriate substitution, solve the equation x'dy+(xy+2y² )dx=0

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Q: Solve the equation dy, 3y + dx +2 = 3x, y(1) = 1.

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Q: dy y = x-'(a² + x²)¿, solve for dx

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Q: Solve for the value of C in the equation (2x^4e^y + 2xy^3+y)dx+ (x^2y^4e^y-x^2y^2-3x)dy=0 when…

A: given 2x44ey'+2xy3+ydx+x2y4ey-x2y2-3xdy=0

Q: Solve the Equation?

A: Now integrating on both sides, we get

Q: Find the solution. 2y dy =x?y²sinx dx

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Q: Solve for the value of C in the equation: (3xy +2y) dx + (2x<y + x) dy = 0 when y(1) = 2.

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Q: Get the solution: x^2 dy/dx - y^2 = 2xy

A: Get the solution: x^2 dy/dx - y^2 = 2xy

Q: Solve the equation y (x + 1) dy/dx = x ( y2 + 1).

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Q: Solve it by linear D.E dy+2/x y.dx=4x.dx

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Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

A: Given:  xy3dx+(y+1)e-xdy=0xy3dx+(y+1)e-xdy=0(y+1)e-xdy=-xy3dxDividing equation on both sides by…

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

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Q: dy dx? Find in terms of x and y. x°-y° = -3

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Q: Find the value of dy/dx when x= 10.74 and y=2.74 for the given equation. y4-y2-2x3-9x =8

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Q: M(x,y) + N(x,y)*dy/dx = 0 ? is it Exact Equation?

A: Consider the equationMx,y+Nx,y×dydx=0provided that there exists a function ψ(x,y) such that∂ψ∂x=Mx,y…

Q: d?y Calculate dx2 y = e-X + eX d?y dx2

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Q: Find the general solution of the equation, d²y dy 4 + Зу %3D0 dx dx?

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: d?y dy - 3- dx Determine the solution of x dx2

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Q: d-y dx2 Calculate y = e¯X + e* 1?

A: Given, y= ex+e-x Differentiating both sides with respect to x we have, dy/dx = d(ex+e-x)/dx dy/dx =…

Q: V16-y? /32–x²–y² V 22 dz dx dy

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Q: (1 + y²) dx + (x²y + y) dy = 0.

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Q: dy By separating the variables, solve the equation dx given that when x = 0, y = 0

A: e^y =(e^(- x^2) +1) /2

Q: y"+ y't 5y-

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Q: dy Is y =V10 – X a solution of dx

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Q: Q4. The degree of the equation is dy d²y dx dx?

A: degree it is the degree of higher order derivative term here higher order derivative is d2y/dx2…

Q: Solve the differcential equation dy = xy - x, given that y = 2 when x = 0, expressing y in terms of…

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Q: Find all values of the constant c so that (2x + y) dx dy = 3.

A: Given: ∫01∫0c2x+ydxdy=3 To find value of c. Solving the given integral, we get…

Q: Solve the equation dy y° – y, - dx? dy giving that dx 0 when y = 1 and y = 2 when x = V2. %3D

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Q: Solve the equation dy y xy-3 dx

A: In this question we will use basic of solution of differential equation.  If differential equation…

Q: Q9// find the general solution (sec³x + (cotx)y)dx + (Insinx)dy = 0

A: Answer and explanation is given below...

Q: Solve the equation 3(y+1)dx-(x+ y +3)dy =0.

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Q: Find a solution of dy (x³ – 1) = y2 – 4 | dx that passes through the indicated points. a) (0,1) b)…

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

Q: V1-x² e-(x²+y²) dy dx

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Q: d*y dy 4. = x? + e". - dx4 dx2

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Q: Find and in terms of t. dx2 x= -9 sint, y = cost dx dx2

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Q: Solve the exact equation   dy/dx= y/x

A: Given, dydx=yx

Q: Find the particular solution of (y + Vx? + y²)dx – xdy; when x = v3, y = 1

A: The differential equation is given as y+x2+y2dx-x dy = 0x dy = y+x2+y2dxdydx= yx+x2+y2x2dydx=…

Q: (d) , 2x Vx2 + 2 dx -5 (e) Si J5-y dy

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Q: Find d²y/dx² for the following equations: e) xy + y² = 1

A: Given equation is xy+y2=1 find d2ydx2

Q: Solve by substitution of u = Ax + By +C  dy/dx = (x + y +3)2

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Q: d'y Find implicity in terms of x and y dx? x² +y² = 4

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Q: dy Solve dx x+ y and find the particular solution when y(1) = 1

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Solve the equation dy /dx = k y

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Q: Obtain the solution (D³ - 2D + D- 2)y = 0 d'y/dx? – dy/dx – 6 = 0 ; when x=0, y=0 and when x=1, y =…

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Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2

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Q: Find d²y/dx² for the following equations: e) xy +y2 = 1

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