x - y- 2z - 10 x +y + 2 %3D 13. =D 1 14. {4x - y %%3D4 Зх x+3y + 2z = 16 +x- %3D -2y + 3z = 1 16. 8y – 13z = -7 15. 4x + y %3D -3x-2y 2x y+ 4z = -7 2x + 3y+ %3D 17. x+ 2y- 5z = 13 18. 5z%3D13 x-2y + y-4z = 9 4х + -x+y +2z = -10 x+y- %3D 19. x+y- z= 7 20. { 4x-y + 2x +y + z = 5 3x + 2y

Q: General solution of 2xydx+y^2dy=0

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Q: 3 (D² + 4)y = Ost<3 3t +2 t23 y(0)=0, y'(0)=1 Find L{y} L{y} = 1 3 3e-3s 8e-3s $2+4 s(s² +4) 2…

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Q: 1. S 4x-5 dx - partial fraction 2x2 +4x-6

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Q: Solve for the 2nd order nonhomogeneous linear equation: y"+12y'+37y=10e-4t     ; y(0)=4,  y'(0)=0

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Q: What is the solution of (2x - y)dx + (4x + y– 6) dy = 0? а. (x+у-3)°- с (2х +у- 4)? b. (x-y+3)²=…

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Q: 5. Use variation of parameters method to solve а. a. y" – 2y' + y = 1+x2

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Q: Use one step of Euler’s method to approximate y(0.1 + π/4 ) if y′ = xsin(x + y) and y( π/4 ) = 0.

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Q: 8) Use Gaussian Elimination to solve: x +3y-z = 13 - 5z = 23 (4x-y-2z = 14 Consier 2x

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Q: What is the general solution of xy(xy³ −1)dx + x²(1+xy5)dy=0? (A) 2x5y³-3x²= Cx² B 2x³y5-3x2= Cy²…

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Q: 1] Use Gaussian Elimination Method. 7X + 5Y + 2Z = 10 = 5 0.7X0.4Y+0.9Z 5X + Y + 8Z = 8 -X+Y+Z =…

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Q: 3. (D² + 4)y = Ost<3 3t +2 t23 y(0)=0, y'(0)=1 Find L{y} {f}T • 8(s² +4) 3e-3s 1le-3s s2 (s2 +4)…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.