Question 1 1 pts Classify the equation 32f _ 62]\" W _ E by order. 0 First order Second order Question 10 1 pts Classify the equation dy dx = cos (a) - 1 by order. O First order Second orderQuestion 11 1 pts Classify the equation dy da = cos (a) - 1 by linearityonlinearity. O Linear O NonlinearQuestion 12 1 pts Classify the equation dy dx = cos (ac) - 1 by type. Partial differential equation O Ordinary differential equationQuestion 13 1 pts What is the solution to the equation dy da = cos (a ) - 1? O cos(ac) - 1 + C O sin(x) - x + C O cos(ac) - x+ C O sin(a) - 1+ CQuestion 14 1 pts What is derivative of y(t) el a(t) at? O y'(t) es a(t) at O y' ( t) es a (t ) at + y (t ) es a(t) dt O y' ( t ) es a (t ) at + y ( t) ea(t) O y' ( t) el a (t) dt + y ( t) alt) es a(t) atQuestion 15 1 pts Find the general solution to the equation dy + 2t dt 1+ +2 1+t2 O y (t ) = = t Itt 2 + 1+ + 2 O y(t) = In(1 + t?) + c O y( t) = t Itt 2 + c O y(t) = Cet 1+ + 2Question 16 1 pts Find the general solution to the equation dy _ dt +thy = t2 O y (t ) = = . + c Oy(t) = 1+ Ce 3 O y(t ) = Ce O y ( t ) = e 3 + cQuestion 17 1 pts Find the (specific) solution to the following initial value problem: dt dy _ 2ty =t y(0) =1 O y(t ) = et - O y ( t) = ; 10 / 00 t2 - O y( t ) = et + O y ( t ) = ; etz 10 / 00Question 2 1 pts Classify the equation 22 f 22 f at2 dac 2 by linearityonlinearity. Nonlinear O LinearQuestion 3 1 pts Classify the equation a _ a Big _ 3:32 by type. Ordinary differential equation 0 Partial differential equation Question 4 1 pts Classify the equation y' = -y's by order. Third order O First order\fQuestion 6 1 pts Classify the equation y' = -y by type. Ordinary differential equation O Partial differential equationQuestion 7 1 pts Classify the equation 1:\" + 21:" + a: = t by order. 0 Second order First order \fQuestion 9 1 pts Classify the equation :23\" + 233' + a: = t by type. Partial differential equation 0 Ordinary differential equation