Khan exercises Maths Tools 1
Consider the ODE y′(x)=−y(x)x+10+xx+10y'(x) = -\dfrac{y(x)}{x + 10} + \dfrac{x}{x + 10}y′(x)=−x+10y(x)+x+10x with y(0)=−10y(0) = -10 y(0)=−10 and x>−10x >-10x>−10.
y′(x)=−y(x)x+10+xx+10y'(x) = -\dfrac{y(x)}{x + 10} + \dfrac{x}{x + 10}y′(x)=−x+10y(x)+x+10x
y(0)=−10y(0) = -10 y(0)=−10
x>−10x >-10x>−10
Determine the value y(−7)\color{orange} y(-7)y(−7) of the solution of the IVP.
y(−7)\color{orange} y(-7)y(−7)
y(−7)=\color{orange} y(-7) =y(−7)=