Question
Solve the initial value problems.$$\frac{d x}{d t}+3 x=7, x(0)=0$$
Step 1
The general form of such an equation is $\frac{dx}{dt} + p(t)x = q(t)$, where $p(t)$ and $q(t)$ are known functions of $t$. In our case, $p(t) = 3$ and $q(t) = 7$. Show more…
Show all steps
Your feedback will help us improve your experience
Nick Johnson and 57 other Calculus 2 / BC educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solve the initial value problem: x' + x = 3e^t, x(0) = 0
Solve the initial value problems for $x$ as a function of $t$. $$\left(t^{2}-3 t+2\right) \frac{d x}{d t}=1 \quad(t > 2), \quad x(3)=0$$
Techniques of Integration
Integration of Rational Functions by Partial Fractions
Solve the initial-value problem for $x$ as a function of $t$ $$ \left(t^{2}-7 t+12\right) \frac{d x}{d t}=1,(t>4, x(5)=0) $$
Partial Fractions
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD