2 dy dx x/2 e

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Q: 10. хx" + 4xx'%3D у2

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Q: 3. (16x + 5y)dx + (3x + y)dy = 0 the curve to pass through the point (1, –3) %3D

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A: To solve a differential equation using  variable separable or dividing the variable   Assume the…

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Q: I

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Q: 10. (Dª + 8D² + 16)y = 0 4

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Q: (a) Find the unique quadratic polynomial y = ax²+bx+c that passes through the three points (1, 1),…

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Q: x'dy +(2xy – y* kdx =0 2. Let the substitution y =2 y = vx, dy=vdx+ xdv

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Q: 4. (cos 2y – 3x²y²)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0 %3D

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Q: rential equations f

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: 47x +75y -30x - 48y satisfying the initial conditions r(0) = 19 and ly' y(0) 12. x(t) = y(t) =

A: Given equations  are  x'=47x+75yy'=-30x-48y  with the initial conditions x0=19 and y0=-12 To find…

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Q: 7. L+ Ri = E,where L, R, and E are constants when t = 0, i = 0 t%3D dt

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Q: PROBLEM 2. Use variation of parameters to solve given system of differential equations: X'= 1 3 X +…

A: Given,The system of differential equations,Aim: To solve the system of differential equations using…

Q: y" + 25y = 5 tan²(5x) cos(5x)

A: To Determine :-  The second order differential equation : y'' + 25y = 5 tan2  5x cos  5x

Q: Let A be a 3×3 matrix, and let u₁ and u₂ be the first two columns of A. Assume that u₁ and u₂ are…

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Q: y" + (y')² = 2e¬y

A: Given: y"+(y')2=2e-y

Q: (1) (#)* + #+ 2 += =² + y? = 0 (ii) ey" +ry = 2y (iv) In(y") + 2y - y = 0 %3D

A: As per given by the question, There are given four type of the equation and which of these are…

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Q: Solve the system of differential equations. [3 -13 8 - [*]**(0) = [] X; X 5 1 16 XI=

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