Consider the following DE2 ty" + 5ty + 4y = g(t), t>0, y(0) = 1, y'(0) = 0 %3D Question 3 Given y1(t) 1 * and let g(t) = 0, solve the DE2 using t2 your own method. Use Wronskian to check for the fundamental solution set.

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A: This is a second-order differential y''-6y'-7y=0 let's assume ddt=D so equation becomes D2-6D-7y=0…

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Q: 3. Find the solution of the DE 2yy" = 1 + (y')², x > 0, y > 0.

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Q: A particular solution of x²y'- x(x + 2)y' + (x + 2)y=2x³, x>0, y₁(x)=x, V₂(x) = xex

A: The given differential equation is, x2y''-xx+2y'+x+2y=2x3rewriting it ,we…

Q: (D³ + 4D² +9D + 10)y=-24e-* when x = 0, y = 0, y'= -4, y" = -10 ANSWER: y = e-2x + excos (2x) -sin…

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A: Step 1:  Step 2: Step 3: Step 4:

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Q: Find general solution of DE by both methods from 2.9 (independent variable missing and dependent…

A: The objective here is to solve the given differential equation: y''−6y'−7y=0,y0=1,y'0=3