Solve the initial value problem: y(x) = 0. dy da + 3y = 7, y(0) = 0

Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Solve x2y dx=(x3+y3) dy

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Q: Use the convolution to write a formula for problem: y" + 25y = f(t), y(0) = -2, y(0) = 1. |

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Q: x3y dx= (x3+y3)dy

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Q: Solve for DE (x + 2y - 3)dx - (2x + 4y - 9) dy = 0

A: In this question,  we solve given DE by substitution methode i. e.  We put some terms in the form of…

Q: y' = 3x²+y² xy ; given that y(1) = 1 ; solve for y when x = 2

A: The given equation is; y'=(3x2+y2)/xy, y(1)=1.

Q: Solve for y in two ways. y' - 5y = -3

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Q: solve (x + y − 1)dx + (y − x − 5)dy = 0.

A: According to question, Given differential equation, (x + y − 1)dx + (y − x − 5)dy = 0.

Q: Solve (yz + хуz) dx + (zx + хуz) dy + (ху + хуz) dz =

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Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: Solve (2x – 1)3y" + (2x – 1)y' - 2y = 8x? – 2x + 3 %3D |

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Q: Find the solution. (dy/dx) + xy = xy³ A x = (ce-²-1) By = (ce²+1) 7² y = (ce x²-1) x = (ce)² + 1) ²…

A: We have given a differential equation ,  dydx + xy = xy3 Multiply throughout by dx ,  dy + xy dx =…

Q: If dy/dx = 4x/y and y(0) = 5, find an equation for y in terms of x. A x²/2=2y² + 25/2 B. y²/2 =…

A: To solve the following problem

Q: Solve x(dy/dx) - 4x2y + 2ylny = 0

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Q: Solve (x²+y)dx+(y³+x)dy=0

A: Since, the given differential equation is x2+ydx+y3+xdy=0, we have to find the general solution.

Q: 1. Solve for 'x': vx + v2x +7 = 8

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Q: B. Solve DES: (x+y) dx + (3x+3y-4) dy =0 C. Solve DES: y' + y = x/y

A: Given: It is given that the equations are x+ydx+3x+3y-4dy=0 and y'+y=xy. To find: The main objective…

Q: ve the following: y' - x³y² = 4x³, y(0) 4x³, y(0) = 2.

A: We will solve the differential equation

Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0

Q: Solve y(4) - 25y" = 0

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