Answer to Question #195247 in Differential Equations for Ichigo

Question

True and False with explanation

1.Eqn y"-2xy'+x²y=e^(x²/2) and y"+y=1 have same normal form.

2.Equation 

cos(x+y)p +sin(x+y)q =z²+z

is a quasi-linear equation.

3. Every solution of the ordinary differential equation (D²+1)²y=0 is bounded on

[0, infinity[.

4.For the IVP, dy/dx=f(x,y),y(x0)=y0 the continuity of f(x,y) and df/dx Guarantees unique solution of the problem

Answer 1

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