t'y' + 3y – tz + (sin t)z' + e²4, y – 7z'. y" %3D Rewrite the given system of two second order differential equations as a system of four first order linear differential equations of the form j' = P(t)ỹ + g(t). Use the following change of variables [ 1 (t)* Y2(t) ý(t) = Y3(t) y(t)' y'(t) z(t) [z'(t) ] Y4(t) ] Y3 Y4

Q: Solve the linear differential equation using Fourier transform.

A: The objective of this question is to solve the given linear differential equation using the Fourier…

Q: (c) 2ry'y-y²+²=0.

A: 2xy'y-y2+x2=0⇒2xyy'=y2-x2

Q: 1) Find the volume of the solid cut from the first octant by the surface z=4-x2-y.

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Q: Separate the equation (1 + x + y + xy)y' =x.

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Q: What is the general solution to the differential equation A B C y = arcsin (esin 2) + C y =…

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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.