Verify if y = cx is a solution of y' = y/x

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

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Q: 11. (2х — бу + 4)dx + (х — 2у — 3)dy — 0; when x — 1, у %3 1

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Q: 5y"-(y')" = y sin a %3D yy" + 2x tan x %3D

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

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Q: Find the solution of the heat conduction problem Uxx = 4u;, 0 0; и(0,г) — 0, u(2, t) = 0, t > 0;…

A: In this question we solve the heat equation and find the value of u(x,t) as t goes to infinity.

Q: DE.2 Find for the general solution or particular solution of the following differential equations…

A: Solution of the problem as follows

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: (1 – xy)-2dx + [y² + x²(1 – xy)-2]dy = 0

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Q: у" + 6у' — 7у%3 0 7y = 0

A: General solution for the second order homogeneous differential equation..     according to Bartleby…

Q: y"+6y'+13y 60cos.x+26 %3D

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Q: (5y – 6x)dx + rdy = 0

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Q: 2) ų (2X?-xyt1) dx † (x-y)dy=0

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Q: Solve the homogenious differential equation Cy²+4y+4y=0; ylo)=1, y'(0) = 3 2 2 ⑤[ +² D² + 5 + D…

A: The homogeneous  differential equation is:The aim is to solve the homogeneous differential equation.

Q: Solve the separable differential equation = VPt, P(1) = 2.

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 5. Verify that y = + C2x + C3xlnx + 4x² is a solution of x³y"' + 2x²y" – xy' + y = 12x²

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Q: 1. Solve the differential equations dy (a) e*! + 2e*y = 1 dx %3D

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Q: x dy + y dx = 3x²y² dx, y(-1) = 2

A: Rewriting given differential equation into standard form of bernoulli equation