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10 questions from this quiz
An equation relating a function and derivatives
ODEs have one variable, PDEs have multiple
Ordinary differential equations
dydx=g(x)h(y)\frac{dy}{dx} = g(x)h(y)dxdy=g(x)h(y)
By separating variables and integrating
∫1h(y)dy=∫g(x)dx\int \frac{1}{h(y)}dy = \int g(x)dx∫h(y)1dy=∫g(x)dx
dydx+P(x)y=Q(x)\frac{dy}{dx} + P(x)y = Q(x)dxdy+P(x)y=Q(x)
F(x)=e∫P(x)dxF(x) = e^{\int P(x)dx}F(x)=e∫P(x)dx
M(x,y)dx+N(x,y)dy=0M(x,y)dx + N(x,y)dy = 0M(x,y)dx+N(x,y)dy=0
∂M∂y=∂N∂x\frac{\partial M}{\partial y} = \frac{\partial N}{\partial x}∂y∂M=∂x∂N
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