. The given vectors are solutions of a system X' AX. Determine whether the vectors form a fundamental set on the interval (-00,00) 2 X, = X : =|0 X, = le 1

Q: 4. Find a general solution of the differential equation z"-3x + 2x=c² sin

A:

Q: What is a particular solution of a differential equation?

A: Particular solution: particular solution of a differential equation is obtained by known value for x…

Q: Find the solution to the differential equation that passes through the origin. dz dt = 4te7

A:

Q: What is the general form and standard form of exact differential equations?

A: Differential equation: A equation is that the linear combination of the variable quantity and…

Q: Explain when Euler’s Method produces an exact particular solution of a differential equation?

A: Euler’s Method produces an exact particular solution of a differential equation?

Q: 3x2y +y2 2x3+ 3ху dy

A:

Q: Find the general solution of the differential equation: 4y" + 36у 3 csc3t

A: Given equation is  4y''+36y=csc3t               (i) It is a second order linear nonhomogeneous…

Q: 2. 2xy dx + (x2 + y2) dy = 0.

A: Given diffrential equation 2xydx+x2+y2dy = 0 dxdy=-x2+y22xy....(1)

Q: Solve the First Order Differential Equation using appropriate method. Show complete and detailed…

A:

Q: Find the general solution of the differential equation: y +2y 5t = te Use lower case c for the…

A: We have to solve

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.