Equations & Models
What is exact differential?
What is M(x,y)dx + N(x,y)dy?
The mathusian model equation
What is dP/dt = kP?
differentiate x^2 + 3x + 1
What is 2x+3?
Differentiate tanx + cosx
What is (secx)^2 -sinx
What is the order of this equation:
y"''(x) + y'(x)
What is 4?
What is seperable equation?
What is dy/dx = g(x)h(y)?
The disease spread model
What is dx/dt = kx(n+1-x)?
Integrate 3x^2 + 2x+1
What is x^3 +x^2 + x?
Differentiate e^(6x^2)
What is 12xe^(6x^2)?
What is an initial condition problem?
What is a problem with conditions set on the equation?
Linear equation
LC series equation
What is R(dg/dt)+(q/c) = E(t)?
Differentiate cosx + sinx
Differentiate secx + sinx
What is secxtanx + cosx?
Differential Equation definition
What is an equation involving derivatives of one or more dependent variables with respect to one or more independent variables?
Newton's Law of Cooling
What is dT/dt = k(T-Tm)?
Bernoulli's Equation
What is dy/dx + P(x)y = f(x)y^n?
Integrate cosx-sinx
What is sinx+cosx?
What is 6xcosx -3x2sinx?
Partial differential equation definition
series circuit equation
What is L(di/dt) + Ri = E(t)?
Logistic Equation
What is dP/dt = rP - (1/k)P^2?
Differentiate 7x^2 +12x^3
What is 14x+36x^2?
What is -ln|cosx| + C?
Solutions to a differential equation with parameters
What is a particular solution?