Differential Equations - dy/dx = f(x) Practice Problems Online

If function $f(x)$ satisfies $\frac{df(x)}{dx}=(3x+4)(2-x) \text{ and } f(-1)=18,$ what is $f(x)?$

If $f'(x)=9x^2$ and $f(2)=31,$ what is $f(x)?$

If $f'(x)=\sin x-2\cos x, f(\pi)=9,$ what is $f(x)?$

f(x)=\cos x+2 \sin x+10

f(x)=-\cos x+2 \sin x+8

f(x)=-\cos x-2\sin x+8

f(x)=\cos x-2 \sin x+10

Suppose that the acceleration $a(t)$ of a particle at time $t,$ is given by the formula $a(t)=4t-3.$ If $v(1)=8, f(2)=5,$ where $v(t)$ and $f(t)$ are the velocity and position function of the particle, respectively, what is the position of the particle when $t=1 ?$

The velocity at time $t$ of a particle moving along the $x$ -axis is given by the formula $v(t)=8t^3-9t^2.$ If the initial position of the particle on the $x$ -axis is $x=9$ , what is its position when $t=2 ?$

Concept Quizzes

Challenge Quizzes

Differential Equations - dy/dx = f(x)

First Order Differential Equations

Concept Quizzes

Challenge Quizzes

Differential Equations - dy/dx = f(x)