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amorah

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Each DE in problems 15-20 is a bernoulli equation .
In problems 15-20 solve the given differintial equation by using an appropriate substitution

15) x dx/dy+y=1/y^2

16) dy/dx-y=e^x.y^2

17) dy/dx=y(xy^3-1

18 ) x dy/dx-(1+x)y



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In problems 27 verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval . form the general solution .


x^2.y''-6xy'+12y=0; x^3,x^4
(0 , الى مالانهاية )



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In problem 2 find the general solution of the given second order-ddiffereintial equation

2) y''-36y=0


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In problems 15 find the general solution of the given higher - order differential equation


15 ) y'''+4y''-5y'=0


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In problems 34 solve the given initial-value problem



34) y''-2y'+y=0
y(0)=5
y')0(=10


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In problem 1&3&16solve the given differential equation by undetrmined coefficients .


1) y''+3y'+2y= -8

3) y''-10y'+25y=-5x+12

16) y''-5y'=2x^3-4x^2-x+6
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