Let with . Which of the following is the explicit formula for…

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Let dydx=3x2−4x+1\dfrac{dy}{dx}=3x^{2}-4x+1 with y(2)=5y(2)=5. Which of the following is the explicit formula for y(x)y(x)? (a) y(x)=x3−2x2+x+5y(x)=x^{3}-2x^{2}+x+5 (b) y(x)=x3−2x2+x+3y(x)=x^{3}-2x^{2}+x+3 (c) y(x)=x3−4x2+x+11y(x)=x^{3}-4x^{2}+x+11 (d) y(x)=x3−2x2+x−3y(x)=x^{3}-2x^{2}+x-3

Related theory

Browse the problem library