Practice problem
Solve the differential equation
y′′+7y′+12y=0y'' + 7y' + 12y = 0y′′+7y′+12y=0
where y(0)=−7y(0) = -7y(0)=−7 and y′(0)=2y'(0) = 2y′(0)=2.
y(x)=e−4x(19−26ex)y(x)=e^{-4x}(19-26e^x)y(x)=e−4x(19−26ex)
y(x)=e−4x(14−27ex)y(x)=e^{-4x}(14-27e^x)y(x)=e−4x(14−27ex)
y(x)=e−3x(23−31ex)y(x)=e^{-3x}(23-31e^x)y(x)=e−3x(23−31ex)
y(x)=e−3x(5−9ex)y(x)=e^{-3x}(5-9e^x)y(x)=e−3x(5−9ex)
Type a concept, like “slope” or “photosynthesis”.
