Verify that y t is a solution to the differential equation 'y" – t(t + 2)y' + (t + 2)y = 0. + > 0 and then find the general solution of this differential equ

Q: Form the differential equation of family of lines situated at a constant distance p from the origin.

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Q: The solution of the differential equation (x³ + 3xy?)dx+ (y³+3x²y)dy=D0 is

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Q: the indicial equation of the differential equation xy'' -x2y'+(1+2x)y=0

A: Question from differential equations.

Q: - Solve the differential equation: y" + y = secxtanx

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Q: Check that the differential equation is linear and find the general solution Y'-(6/X)Y = x^4

A: Given differential equation is y'-6xy=x4 which can be written as dydx-6xy=x4. We have to check…

Q: Solve for Linear Differential Equation of Order n: x^2y′′+(y′)^2−2xy′=0

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Q: (x²+y)dx + dy 0

A: This linear differential equation

Q: y(x^2 y^2 - m)dx + x(x^2 y^2 + n) dy = 0

A: yx2y2-mdx+xx2y2+ndy=0Let M=yx2y2-m∂M∂y=y·2x2y+x2y2-m        =3x2y2-mLet N=xx2y2+n∂N∂x=3x2y2+nNow,…

Q: 5. A differential equation is if it can be written in the form f(y)d(y) = g(x)d(x)-

A: A differential equation is ORDINARY if it can be  Written in the form f(y)dy = g(x) dx .

Q: find the degree of the differential equation y''-12cosec y= 0   3 1 4 or 2

A: The order of the differential equation is 2.

Q: -dx + 1 - x²y? dy. 1– a²y? dx = constant. help (formulas)

A: Given that dx=y1-x2y2dx+x1-x2y2dy The objective is to find the solution for the differential…

Q: The differential equation 4y"- siny y' + 3y = O is a linear equation. :Select one True False

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Q: y = cje* + cze²r y" -y – 2y = 0 O 2y " -y' – y = 0

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