wo functions: y_1 = x^2 , y_2 = 1/x^2 are complementary solutions to the equation: x^2 y" + xy' - 4y = x^3 a.) Find the general solution   b.) Assume the bondary conditions: y(0) =0       y(3)=0.  What is y(2)?

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A: To find the solution of X'=AX where, A=−210−50003−2X0=−2−12

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Q: y'+(2x-1)y-xy2=x-1; y(0)=3, explicit solution of the form y=f(x) Also: a) Determine the value of…

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Q: Find the value of a for which the equation y''+a^2y=0 has non trivial solution such that y(0)=y(pi)…

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Q: (18) y "+9y '= sec² 2x %3D (19) y "'+6y "–14y'–104y = -11 le*

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Q: Find y as a function of if y(0) = 2, y'(0) = 9, y'(0) = -58. y(x) = y"-4"-y + 4y = 0,

A: We are given the homogeneous differential equation: y"'-4y"-y'+4y=0 and y(0)=2, y'(0)=9,y"(0)= -58.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.