The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx y²(x) Y2 Y₂=Y₁(x) [ as instructed, to find a second solution y₂(x). 25y" 20y' + 4y = 0; Y₁ = e²x/5 = -dx (5)

Q: Find a differential equation whose general solution is y = c₁e²t + C₂e-2.

A: Note: Your general solution should be: .The differential equation for this general solution needs to…

Q: What is the general solution ti the differential equation (x-4y-9)dx+(4x+y-2)dy=0 ?

A: Given: x-4y-9dx+4x+y-2dy=0

Q: Solve using the non-exact linear differential equation  [ytan(x)(cos(2x))-1]dx+csc(2x)dy=0 when…

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Q: The indicated function y,(x) is a solution of the given differential equation. Use reduction of…

A: We will use the reduction formula to find the other solution, y2

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 linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: 4x² d²y dx2 + y = 0 ;

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Q: Suppose that fit) is a solution of the differential equation y' = ty -2 and the graph of ft) passes…

A: Slope of f(t) at any point will be same at value of y' at that point. Here finding f is not…

Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of…

A: To find- The indicated function y1x is a solution of the given differential equation. Use reduction…

Q: Q1) Solve a first order differential equation. dy -x + Vx² + y² dx y

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Q: The differential equation (3x² + y²)dx - 2xydy = 0 can be made exact by using what integrating…

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Q: Let (a) (b) (√x + ²) dr + (y² + ln(2x)) dy=0, x>0. Check that this is an exact differential…

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