yı=6x2+2x-5 , y(0)=7

Q: 2x dx e2* +3e" +2 5.

A: To solve this integral, a substitution of is taken. Then it is differentiated to find the value of…

Q: Differentiate dx y=3x²+2 (3x² + 2) = 3+.

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Q: d^2y/dx^2-6dy/dx+9y=3xe^-3x+3x^2-2

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Q: 2x+x-21x+24 dx x² +2x-8

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Q: y- dy dx 3 (1+x) 2 = x³+x-10 X-2 اذا كانت

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Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

A: Solution:x-2y-1dy=2x-4y-5dxdydx=2x-4y-5x-2y-1dydx=2x-2y-1-52+1x-2y-1dydx=2x-2y-1-32x-2y-1let,x-2y-1=…

Q: * бу dx 2 =x+y

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Q: 3dy dx3 +5ª²y _ 2 dy = 0 dx2 dx

A: Follow next step

Q: Find d²y dx² V = d²y 12 || 9,3 3 – 5X -

A: .

Q: (4x-3) find dy/dх y = (2х-7)6

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Q: b) (2x - 3y +4) dx + 3 (x-1) dy = (x-1) dy %3D

A: Given:- (2x-3y+4) dx+3(x-1) dy=0 To find:- General solution of given differential equation

Q: d.x 2x2 +3x + 1 0. 2.

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Q: 4= Find y 13x+(2x3-x'

A: To find the derivatives

Q: y' = 3x2 - 12x - 79

A: Consider the provided derivative, y'=3x2-12x-79 Find the expression of yx. We can write as,…

Q: y ²x ²dy + 4xydx = 0

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Q: Solve for d2y/dx2 for x = u2 - 3 and y = 4u3 - 2u

A: Given x=u2-3 and y=4u3-2u. To find d2ydx2. Solution: We have, x=u2-3 Differentiating the given…

Q: Find / (+52 + 4) dz 5x x6

A: Given integral: We have to evaluate the given integral.

Q: da d²y +6- dx dx² + 11 dx+6y = ex + cosx бу

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Q: Linearize the non-linear equation: 1. y=c+ax^n

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Q: find (x²-y) dx + y²dy=

A: Introduction: One example of the form is a first-order homogeneous linear differential equation.…

Q: • N/W [ (x³-3x) dx - 1

A: