Given the ordinary differential equation d'y dx² + dy -6y =0 with yco) =0 and dy (6) =1 , the value of yc) is dx

Q: Find the integrating factor of the non-exact differential equation: dy= (e2x+y-1) dx

A: Given differential equation is dy=e2x+y-1dx which can also be written as e2x+y-1dx-dy=0 Comparing…

Q: y is related to x through the differential equation: dy dx = ax + bx² + dx³ and y = c when x = 0…

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Q: the differential equation of the gi u= A(sec4t)1+ B(csc4t)1 2x3 12 12-C

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Q: Solve the differential equation given below 3y2(dy/dx)+y3=e-x

A: We have to solve given differential equation:

Q: Solve this differential equation: dy/dx=y/x+√(1+y/x ) ; when x=1,y=8

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Q: Determine the order and degree of the differential equation: 2x dʻy/dx+5x²(dy/dx)³-xy=D0

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Q: Determine the equation of the curve passing through the origin in the from y = f(x) which satisfies…

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Q: Solve the differential equation: dy/dx=cos(x+y) when x=0, and y=pi/4

A: Solve the differential equation, using substitution method

Q: If y = (1/2x)(sin(lnx)-cos(lnx)), find dy/dx.

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Q: Solve the given differential equation : dy x² – 2xy = 3y*, y(1)=1/2 dx

A: We will find out the required solution.

Q: Solve the differential equation dx+ xydy = y²dx+ ydy

A: Given equation is: dx+xydy=y2dx+ydy

Q: If the extremal of a functional J(y) is given by y(x) = A(x? – 1)² + e2« and the associated…

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Q: Solve the differential equation dy + (tanx)y = (cosx sinx)y-1 dx %3D

A: In the differential equation bring y to LHS and solve:…

Q: Find the differential equation of dy/dx = x(1+y²)/4y.

A: To solve the differential equation dy/dx=x(1+y^2)/4y